122101202202111 has 48 divisors (see below), whose sum is σ = 204123021373440. Its totient is φ = 69553937900160.

The previous prime is 122101202202103. The next prime is 122101202202197. The reversal of 122101202202111 is 111202202101221.

122101202202111 is a `hidden beast` number, since 1 + 2 + 210 + 1 + 20 + 220 + 211 + 1 = 666.

It is not a de Polignac number, because 122101202202111 - 2³ = 122101202202103 is a prime.

It is a super-2 number, since 2×122101202202111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101202202311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255323790 + ... + 255801563.

It is an arithmetic number, because the mean of its divisors is an integer number (4252562945280).

Almost surely, 2^{122101202202111} is an apocalyptic number.

122101202202111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122101202202111 is a deficient number, since it is larger than the sum of its proper divisors (82021819171329).

122101202202111 is a wasteful number, since it uses less digits than its factorization.

122101202202111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511125516 (or 511125513 counting only the distinct ones).

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

Adding to 122101202202111 its reverse (111202202101221), we get a palindrome (233303404303332).

The spelling of 122101202202111 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred two million, two hundred two thousand, one hundred eleven".