101210111012112 has 40 divisors (see below), whose sum is σ = 261461255006880. Its totient is φ = 33736471211520.

The previous prime is 101210111012099. The next prime is 101210111012159. The reversal of 101210111012112 is 211210111012101.

101210111012112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101210111012112³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101210111012091 and 101210111012100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153814 + ... + 14228277.

It is an arithmetic number, because the mean of its divisors is an integer number (6536531375172).

Almost surely, 2^{101210111012112} is an apocalyptic number.

101210111012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101210111012112 is an abundant number, since it is smaller than the sum of its proper divisors (160251143994768).

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

101210111012112 is a wasteful number, since it uses less digits than its factorization.

101210111012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14528711 (or 14528705 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101210111012112 its reverse (211210111012101), we get a palindrome (312420222024213).

The spelling of 101210111012112 in words is "one hundred one trillion, two hundred ten billion, one hundred eleven million, twelve thousand, one hundred twelve".