100200010021100 has 144 divisors (see below), whose sum is σ = 241118713248000. Its totient is φ = 35834675616000.

The previous prime is 100200010021099. The next prime is 100200010021193. The reversal of 100200010021100 is 1120010002001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576906071 + ... + 577079729.

Almost surely, 2^{100200010021100} is an apocalyptic number.

100200010021100 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 100200010021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120559356624000).

100200010021100 is an abundant number, since it is smaller than the sum of its proper divisors (140918703226900).

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

100200010021100 is a wasteful number, since it uses less digits than its factorization.

100200010021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182344 (or 182337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100200010021100 its reverse (1120010002001), we get a palindrome (101320020023101).

The spelling of 100200010021100 in words is "one hundred trillion, two hundred billion, ten million, twenty-one thousand, one hundred".