100100102021000 has 128 divisors (see below), whose sum is σ = 237215073139200. Its totient is φ = 39530564236800.

The previous prime is 100100102020981. The next prime is 100100102021027. The reversal of 100100102021000 is 120201001001.

100100102021000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100100102021000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535174399 + ... + 1535239601.

It is an arithmetic number, because the mean of its divisors is an integer number (1853242758900).

Almost surely, 2^{100100102021000} is an apocalyptic number.

100100102021000 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 100100102021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118607536569600).

100100102021000 is an abundant number, since it is smaller than the sum of its proper divisors (137114971118200).

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

100100102021000 is a wasteful number, since it uses less digits than its factorization.

100100102021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84736 (or 84722 counting only the distinct ones).

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

Adding to 100100102021000 its reverse (120201001001), we get a palindrome (100220303022001).

The spelling of 100100102021000 in words is "one hundred trillion, one hundred billion, one hundred two million, twenty-one thousand".