210012032000100 has 864 divisors, whose sum is σ = 710134648473600. Its totient is φ = 47808528768000.

The previous prime is 210012032000059. The next prime is 210012032000119. The reversal of 210012032000100 is 1000230210012.

It is a super-2 number, since 2×210012032000100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5571922255 + ... + 5571959945.

It is an arithmetic number, because the mean of its divisors is an integer number (821915102400).

Almost surely, 2^{210012032000100} is an apocalyptic number.

210012032000100 is a gapful number since it is divisible by the number (20) 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 210012032000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355067324236800).

210012032000100 is an abundant number, since it is smaller than the sum of its proper divisors (500122616473500).

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

210012032000100 is a wasteful number, since it uses less digits than its factorization.

210012032000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37905 (or 37887 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 210012032000100 its reverse (1000230210012), we get a palindrome (211012262210112).

The spelling of 210012032000100 in words is "two hundred ten trillion, twelve billion, thirty-two million, one hundred", and thus it is an aban number.