122112101202201 has 72 divisors (see below), whose sum is σ = 197572243096800. Its totient is φ = 72075772224000.

The previous prime is 122112101202199. The next prime is 122112101202227. The reversal of 122112101202201 is 102202101211221.

122112101202201 is a `hidden beast` number, since 1 + 2 + 211 + 210 + 1 + 20 + 220 + 1 = 666.

122112101202201 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 122112101202201 - 2¹ = 122112101202199 is a prime.

It is a super-2 number, since 2×122112101202201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112101202101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94382725 + ... + 95667773.

It is an arithmetic number, because the mean of its divisors is an integer number (2744058931900).

Almost surely, 2^{122112101202201} is an apocalyptic number.

122112101202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122112101202201 is a deficient number, since it is larger than the sum of its proper divisors (75460141894599).

122112101202201 is a wasteful number, since it uses less digits than its factorization.

122112101202201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285719 (or 1285675 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122112101202201 its reverse (102202101211221), we get a palindrome (224314202413422).

The spelling of 122112101202201 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred one million, two hundred two thousand, two hundred one".