112100102101 has 64 divisors (see below), whose sum is σ = 132500007360. Its totient is φ = 93914726400.

The previous prime is 112100102053. The next prime is 112100102111. The reversal of 112100102101 is 101201001211.

It can be written as a sum of positive squares in 32 ways, for example, as 72797436100 + 39302666001 = 269810^2 + 198249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112100102101 is a prime.

It is a super-2 number, since 2×112100102101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145019151 + ... + 145019923.

It is an arithmetic number, because the mean of its divisors is an integer number (2070312615).

Almost surely, 2^112100102101 is an apocalyptic number.

It is an amenable number.

112100102101 is a deficient number, since it is larger than the sum of its proper divisors (20399905259).

112100102101 is a wasteful number, since it uses less digits than its factorization.

112100102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112100102101 its reverse (101201001211), we get a palindrome (213301103312).

The spelling of 112100102101 in words is "one hundred twelve billion, one hundred million, one hundred two thousand, one hundred one".