101000 has 32 divisors (see below), whose sum is σ = 238680. Its totient is φ = 40000.

The previous prime is 100999. The next prime is 101009. The reversal of 101000 is 101.

It can be written as a sum of positive squares in 4 ways, for example, as 58564 + 42436 = 242^2 + 206^2 .

It is a sliding number, since 101000 = 1000 + 100000 and 1/1000 + 1/100000 = 0.00101000.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (101009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 950 + ... + 1050.

2¹⁰¹⁰⁰⁰ is an apocalyptic number.

101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340).

101000 is an abundant number, since it is smaller than the sum of its proper divisors (137680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101000 is a wasteful number, since it uses less digits than its factorization.

101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 101000 is about 317.8049716414. The cubic root of 101000 is about 46.5700950780.

Adding to 101000 its reverse (101), we get a palindrome (101101).

101000 divided by its reverse (101) gives a cube (1000 = 10³).

The spelling of 101000 in words is "one hundred one thousand", and thus it is an iban number.