102413312421012 has 144 divisors (see below), whose sum is σ = 272819505940800. Its totient is φ = 32303528248320.

The previous prime is 102413312420971. The next prime is 102413312421037. The reversal of 102413312421012 is 210124213314201.

102413312421012 is a `hidden beast` number, since 1 + 0 + 2 + 413 + 3 + 1 + 24 + 210 + 12 = 666.

It is a super-2 number, since 2×102413312421012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 3573748188 + ... + 3573776844.

Almost surely, 2^{102413312421012} is an apocalyptic number.

102413312421012 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 102413312421012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136409752970400).

102413312421012 is an abundant number, since it is smaller than the sum of its proper divisors (170406193519788).

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

102413312421012 is a wasteful number, since it uses less digits than its factorization.

102413312421012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34566 (or 34561 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 102413312421012 its reverse (210124213314201), we get a palindrome (312537525735213).

The spelling of 102413312421012 in words is "one hundred two trillion, four hundred thirteen billion, three hundred twelve million, four hundred twenty-one thousand, twelve".