101002000101100 has 72 divisors (see below), whose sum is σ = 256594349598048. Its totient is φ = 33784641139200.

The previous prime is 101002000101073. The next prime is 101002000101109. The reversal of 101002000101100 is 1101000200101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (101002000101109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1759588027 + ... + 1759645426.

It is an arithmetic number, because the mean of its divisors is an integer number (3563810411084).

Almost surely, 2^{101002000101100} is an apocalyptic number.

101002000101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002000101100 is an abundant number, since it is smaller than the sum of its proper divisors (155592349496948).

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

101002000101100 is a wasteful number, since it uses less digits than its factorization.

101002000101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519233515 (or 3519233508 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101002000101100 its reverse (1101000200101), we get a palindrome (102103000301201).

Subtracting from 101002000101100 its reverse (1101000200101), we obtain a palindrome (99900999900999).

The spelling of 101002000101100 in words is "one hundred one trillion, two billion, one hundred one thousand, one hundred".