10121101312312 has 64 divisors (see below), whose sum is σ = 20871497448000. Its totient is φ = 4585430513664.

The previous prime is 10121101312279. The next prime is 10121101312319. The reversal of 10121101312312 is 21321310112101.

It is a self number, because there is not a number n which added to its sum of digits gives 10121101312312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121101312319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17611137 + ... + 18176752.

It is an arithmetic number, because the mean of its divisors is an integer number (326117147625).

Almost surely, 2^{10121101312312} is an apocalyptic number.

It is an amenable number.

10121101312312 is an abundant number, since it is smaller than the sum of its proper divisors (10750396135688).

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

10121101312312 is a wasteful number, since it uses less digits than its factorization.

10121101312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35788000 (or 35787996 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10121101312312 its reverse (21321310112101), we get a palindrome (31442411424413).

The spelling of 10121101312312 in words is "ten trillion, one hundred twenty-one billion, one hundred one million, three hundred twelve thousand, three hundred twelve".