122101222002111 has 48 divisors (see below), whose sum is σ = 192545329167360. Its totient is φ = 73945592804160.

The previous prime is 122101222002083. The next prime is 122101222002119. The reversal of 122101222002111 is 111200222101221.

122101222002111 is a `hidden beast` number, since 1 + 221 + 0 + 12 + 220 + 0 + 211 + 1 = 666.

It is not a de Polignac number, because 122101222002111 - 2⁴² = 117703175491007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101222002119) 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, 3112504845 + ... + 3112544073.

It is an arithmetic number, because the mean of its divisors is an integer number (4011361024320).

Almost surely, 2^{122101222002111} is an apocalyptic number.

122101222002111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122101222002111 is a deficient number, since it is larger than the sum of its proper divisors (70444107165249).

122101222002111 is a wasteful number, since it uses less digits than its factorization.

122101222002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61876 (or 61873 counting only the distinct ones).

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

Adding to 122101222002111 its reverse (111200222101221), we get a palindrome (233301444103332).

The spelling of 122101222002111 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-two million, two thousand, one hundred eleven".