122112202101102 has 48 divisors (see below), whose sum is σ = 270941053194240. Its totient is φ = 39726376025616.

The previous prime is 122112202101101. The next prime is 122112202101121. The reversal of 122112202101102 is 201101202211221.

122112202101102 is a `hidden beast` number, since 1 + 221 + 1 + 220 + 210 + 1 + 10 + 2 = 666.

It is a super-2 number, since 2×122112202101102² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112202101101) 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 23 ways as a sum of consecutive naturals, for example, 60686248 + ... + 62666139.

It is an arithmetic number, because the mean of its divisors is an integer number (5644605274880).

Almost surely, 2^{122112202101102} is an apocalyptic number.

122112202101102 is an abundant number, since it is smaller than the sum of its proper divisors (148828851093138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122112202101102 is a wasteful number, since it uses less digits than its factorization.

122112202101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123353717 (or 123353714 counting only the distinct ones).

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

Adding to 122112202101102 its reverse (201101202211221), we get a palindrome (323213404312323).

The spelling of 122112202101102 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred two million, one hundred one thousand, one hundred two".