210112112122101 has 48 divisors (see below), whose sum is σ = 354296960409600. Its totient is φ = 117487815820704.

The previous prime is 210112112122067. The next prime is 210112112122117. The reversal of 210112112122101 is 101221211211012.

It is a happy number.

210112112122101 is a `hidden beast` number, since 21 + 0 + 11 + 211 + 212 + 210 + 1 = 666.

It is not a de Polignac number, because 210112112122101 - 2⁹ = 210112112121589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210112112122151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9498340 + ... + 22592978.

It is an arithmetic number, because the mean of its divisors is an integer number (7381186675200).

Almost surely, 2^{210112112122101} is an apocalyptic number.

210112112122101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210112112122101 is a deficient number, since it is larger than the sum of its proper divisors (144184848287499).

210112112122101 is a wasteful number, since it uses less digits than its factorization.

210112112122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13100118 (or 13100115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 210112112122101 its reverse (101221211211012), we get a palindrome (311333323333113).

The spelling of 210112112122101 in words is "two hundred ten trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, one hundred one".