10112032313100 has 108 divisors (see below), whose sum is σ = 32869514825784. Its totient is φ = 2696541943680.

The previous prime is 10112032313099. The next prime is 10112032313129. The reversal of 10112032313100 is 131323021101.

10112032313100 is a `hidden beast` number, since 1 + 0 + 1 + 120 + 3 + 231 + 310 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×10112032313100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 208042209 + ... + 208090808.

It is an arithmetic number, because the mean of its divisors is an integer number (304347359498).

Almost surely, 2^{10112032313100} is an apocalyptic number.

10112032313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112032313100 is an abundant number, since it is smaller than the sum of its proper divisors (22757482512684).

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

10112032313100 is a wasteful number, since it uses less digits than its factorization.

10112032313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416133046 (or 416133027 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10112032313100 its reverse (131323021101), we get a palindrome (10243355334201).

The spelling of 10112032313100 in words is "ten trillion, one hundred twelve billion, thirty-two million, three hundred thirteen thousand, one hundred".