101022400 has 84 divisors (see below), whose sum is σ = 251401072. Its totient is φ = 39951360.

The previous prime is 101022391. The next prime is 101022413. The reversal of 101022400 is 4220101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164494 + ... + 165106.

Almost surely, 2^101022400 is an apocalyptic number.

101022400 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 101022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125700536).

101022400 is an abundant number, since it is smaller than the sum of its proper divisors (150378672).

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

101022400 is a wasteful number, since it uses less digits than its factorization.

101022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 101022400 is about 10050.9900009900. The cubic root of 101022400 is about 465.7353762926.

Adding to 101022400 its reverse (4220101), we get a palindrome (105242501).

The spelling of 101022400 in words is "one hundred one million, twenty-two thousand, four hundred".