102312122001012 has 288 divisors, whose sum is σ = 329338148106240. Its totient is φ = 26006036232960.

The previous prime is 102312122000993. The next prime is 102312122001013. The reversal of 102312122001012 is 210100221213201.

102312122001012 is a `hidden beast` number, since 1 + 0 + 231 + 212 + 200 + 10 + 12 = 666.

102312122001012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312122001013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1202087914 + ... + 1202173022.

It is an arithmetic number, because the mean of its divisors is an integer number (1143535236480).

Almost surely, 2^{102312122001012} is an apocalyptic number.

102312122001012 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 102312122001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164669074053120).

102312122001012 is an abundant number, since it is smaller than the sum of its proper divisors (227026026105228).

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

102312122001012 is a wasteful number, since it uses less digits than its factorization.

102312122001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94411 (or 94406 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102312122001012 its reverse (210100221213201), we get a palindrome (312412343214213).

The spelling of 102312122001012 in words is "one hundred two trillion, three hundred twelve billion, one hundred twenty-two million, one thousand, twelve".