202100100102000 has 480 divisors, whose sum is σ = 736956803995776. Its totient is φ = 51522273792000.

The previous prime is 202100100101983. The next prime is 202100100102013. The reversal of 202100100102000 is 201001001202.

It is a super-2 number, since 2×202100100102000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 770322844 + ... + 770585156.

Almost surely, 2^{202100100102000} is an apocalyptic number.

202100100102000 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 202100100102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368478401997888).

202100100102000 is an abundant number, since it is smaller than the sum of its proper divisors (534856703893776).

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

202100100102000 is a wasteful number, since it uses less digits than its factorization.

202100100102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264226 (or 264207 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 202100100102000 its reverse (201001001202), we get a palindrome (202301101103202).

The spelling of 202100100102000 in words is "two hundred two trillion, one hundred billion, one hundred million, one hundred two thousand".