102032022203100 has 360 divisors, whose sum is σ = 361767601641600. Its totient is φ = 24669763574400.

The previous prime is 102032022203099. The next prime is 102032022203149. The reversal of 102032022203100 is 1302220230201.

102032022203100 is a `hidden beast` number, since 1 + 0 + 20 + 320 + 2 + 220 + 3 + 100 = 666.

It is a super-2 number, since 2×102032022203100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32258161 + ... + 35279639.

It is an arithmetic number, because the mean of its divisors is an integer number (1004910004560).

Almost surely, 2^{102032022203100} is an apocalyptic number.

102032022203100 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 102032022203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180883800820800).

102032022203100 is an abundant number, since it is smaller than the sum of its proper divisors (259735579438500).

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

102032022203100 is a wasteful number, since it uses less digits than its factorization.

102032022203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021895 (or 3021879 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102032022203100 its reverse (1302220230201), we get a palindrome (103334242433301).

The spelling of 102032022203100 in words is "one hundred two trillion, thirty-two billion, twenty-two million, two hundred three thousand, one hundred".