10102310132112 has 240 divisors, whose sum is σ = 32032173738240. Its totient is φ = 2945099520000.

The previous prime is 10102310132099. The next prime is 10102310132183. The reversal of 10102310132112 is 21123101320101.

10102310132112 is a `hidden beast` number, since 10 + 10 + 2 + 310 + 1 + 321 + 12 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4247737 + ... + 6184487.

It is an arithmetic number, because the mean of its divisors is an integer number (133467390576).

Almost surely, 2^{10102310132112} is an apocalyptic number.

10102310132112 is a gapful number since it is divisible by the number (12) 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 10102310132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016086869120).

10102310132112 is an abundant number, since it is smaller than the sum of its proper divisors (21929863606128).

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

10102310132112 is a wasteful number, since it uses less digits than its factorization.

10102310132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936902 (or 1936893 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10102310132112 its reverse (21123101320101), we get a palindrome (31225411452213).

The spelling of 10102310132112 in words is "ten trillion, one hundred two billion, three hundred ten million, one hundred thirty-two thousand, one hundred twelve".