101000010211100 has 432 divisors, whose sum is σ = 297215658313728. Its totient is φ = 28770940800000.

The previous prime is 101000010211081. The next prime is 101000010211169. The reversal of 101000010211100 is 1112010000101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1021070645 + ... + 1021169555.

Almost surely, 2^{101000010211100} is an apocalyptic number.

101000010211100 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 101000010211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148607829156864).

101000010211100 is an abundant number, since it is smaller than the sum of its proper divisors (196215648102628).

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

101000010211100 is a wasteful number, since it uses less digits than its factorization.

101000010211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99158 (or 99050 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101000010211100 its reverse (1112010000101), we get a palindrome (102112020211201).

The spelling of 101000010211100 in words is "one hundred one trillion, ten million, two hundred eleven thousand, one hundred".