121122112210101 has 48 divisors (see below), whose sum is σ = 186066187906560. Its totient is φ = 75779981101440.

The previous prime is 121122112210087. The next prime is 121122112210123. The reversal of 121122112210101 is 101012211221121.

It is a happy number.

121122112210101 is a `hidden beast` number, since 1 + 211 + 221 + 1 + 221 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 121122112210101 - 2²⁶ = 121122045101237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122112210601) 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, 3241926 + ... + 15898248.

It is an arithmetic number, because the mean of its divisors is an integer number (3876378914720).

Almost surely, 2^{121122112210101} is an apocalyptic number.

It is an amenable number.

121122112210101 is a deficient number, since it is larger than the sum of its proper divisors (64944075696459).

121122112210101 is a wasteful number, since it uses less digits than its factorization.

121122112210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12657386 (or 12657383 counting only the distinct ones).

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

Adding to 121122112210101 its reverse (101012211221121), we get a palindrome (222134323431222).

The spelling of 121122112210101 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, one hundred one".