10210122110112 has 96 divisors (see below), whose sum is σ = 26848119513600. Its totient is φ = 3397465360128.

The previous prime is 10210122110087. The next prime is 10210122110137. The reversal of 10210122110112 is 21101122101201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10210122110087) and next prime (10210122110137).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10210122110091 and 10210122110100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340788189 + ... + 340818147.

It is an arithmetic number, because the mean of its divisors is an integer number (279667911600).

Almost surely, 2^{10210122110112} is an apocalyptic number.

10210122110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10210122110112 is an abundant number, since it is smaller than the sum of its proper divisors (16637997403488).

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

10210122110112 is a wasteful number, since it uses less digits than its factorization.

10210122110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36018 (or 36010 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10210122110112 its reverse (21101122101201), we get a palindrome (31311244211313).

The spelling of 10210122110112 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, one hundred ten thousand, one hundred twelve".