101112210122121 has 36 divisors (see below), whose sum is σ = 163750885434864. Its totient is φ = 59623907608800.

The previous prime is 101112210122111. The next prime is 101112210122149. The reversal of 101112210122121 is 121221012211101.

It is a happy number.

101112210122121 is a `hidden beast` number, since 101 + 112 + 210 + 1 + 221 + 21 = 666.

It is not a de Polignac number, because 101112210122121 - 2¹⁸ = 101112209859977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101112210122094 and 101112210122103.

It is not an unprimeable number, because it can be changed into a prime (101112210122111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372886915 + ... + 373157976.

It is an arithmetic number, because the mean of its divisors is an integer number (4548635706524).

Almost surely, 2^{101112210122121} is an apocalyptic number.

101112210122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112210122121 is a deficient number, since it is larger than the sum of its proper divisors (62638675312743).

101112210122121 is a wasteful number, since it uses less digits than its factorization.

101112210122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746044982 (or 746044942 counting only the distinct ones).

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

Adding to 101112210122121 its reverse (121221012211101), we get a palindrome (222333222333222).

The spelling of 101112210122121 in words is "one hundred one trillion, one hundred twelve billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty-one".