102400220023000 has 128 divisors (see below), whose sum is σ = 239920244928000. Its totient is φ = 40908202416000.

The previous prime is 102400220022983. The next prime is 102400220023019. The reversal of 102400220023000 is 320022004201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2601149317 + ... + 2601188683.

It is an arithmetic number, because the mean of its divisors is an integer number (1874376913500).

Almost surely, 2^{102400220023000} is an apocalyptic number.

102400220023000 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 102400220023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119960122464000).

102400220023000 is an abundant number, since it is smaller than the sum of its proper divisors (137520024905000).

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

102400220023000 is a wasteful number, since it uses less digits than its factorization.

102400220023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42618 (or 42604 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 102400220023000 its reverse (320022004201), we get a palindrome (102720242027201).

The spelling of 102400220023000 in words is "one hundred two trillion, four hundred billion, two hundred twenty million, twenty-three thousand".