101112002100 has 54 divisors (see below), whose sum is σ = 316929956070. Its totient is φ = 26963200320.

The previous prime is 101112002063. The next prime is 101112002111. The reversal of 101112002100 is 1200211101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12253161636 + 88858840464 = 110694^2 + 298092^2 .

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 17 ways as a sum of consecutive naturals, for example, 56172435 + ... + 56174234.

Almost surely, 2^101112002100 is an apocalyptic number.

101112002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112002100 is an abundant number, since it is smaller than the sum of its proper divisors (215817953970).

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

101112002100 is a wasteful number, since it uses less digits than its factorization.

101112002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112346689 (or 112346679 counting only the distinct ones).

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

Adding to 101112002100 its reverse (1200211101), we get a palindrome (102312213201).

The spelling of 101112002100 in words is "one hundred one billion, one hundred twelve million, two thousand, one hundred".