101002001021100 has 108 divisors (see below), whose sum is σ = 316722158050480. Its totient is φ = 26922211747200.

The previous prime is 101002001021057. The next prime is 101002001021113. The reversal of 101002001021100 is 1120100200101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22200595 + ... + 26360394.

Almost surely, 2^{101002001021100} is an apocalyptic number.

101002001021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002001021100 is an abundant number, since it is smaller than the sum of its proper divisors (215720157029380).

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

101002001021100 is a wasteful number, since it uses less digits than its factorization.

101002001021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48563320 (or 48563310 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101002001021100 its reverse (1120100200101), we get a palindrome (102122101221201).

The spelling of 101002001021100 in words is "one hundred one trillion, two billion, one million, twenty-one thousand, one hundred".