10100121012112 has 20 divisors (see below), whose sum is σ = 19570898989440. Its totient is φ = 5049566434208.

The previous prime is 10100121012083. The next prime is 10100121012119. The reversal of 10100121012112 is 21121012100101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10100121012092 and 10100121012101.

It is not an unprimeable number, because it can be changed into a prime (10100121012119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30710812 + ... + 31037947.

It is an arithmetic number, because the mean of its divisors is an integer number (978544949472).

Almost surely, 2^{10100121012112} is an apocalyptic number.

It is an amenable number.

10100121012112 is a deficient number, since it is larger than the sum of its proper divisors (9470777977328).

10100121012112 is a wasteful number, since it uses less digits than its factorization.

10100121012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61758990 (or 61758984 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10100121012112 its reverse (21121012100101), we get a palindrome (31221133112213).

The spelling of 10100121012112 in words is "ten trillion, one hundred billion, one hundred twenty-one million, twelve thousand, one hundred twelve".