10101024 has 84 divisors (see below), whose sum is σ = 29884806. Its totient is φ = 3359232.

The previous prime is 10101023. The next prime is 10101079. The reversal of 10101024 is 42010101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9809424 + 291600 = 3132^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100997 and 10101015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23112 + ... + 23544.

Almost surely, 2^10101024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942403).

10101024 is an abundant number, since it is smaller than the sum of its proper divisors (19783782).

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

10101024 is an frugal number, since it uses more digits than its factorization.

10101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10101024 is about 3178.2108174254. The cubic root of 10101024 is about 216.1665382310.

Adding to 10101024 its reverse (42010101), we get a palindrome (52111125).

The spelling of 10101024 in words is "ten million, one hundred one thousand, twenty-four".