122100212112102 has 32 divisors (see below), whose sum is σ = 310095776793600. Its totient is φ = 34885774889064.

The previous prime is 122100212112091. The next prime is 122100212112107. The reversal of 122100212112102 is 201211212001221.

122100212112102 is a `hidden beast` number, since 1 + 221 + 0 + 0 + 21 + 211 + 210 + 2 = 666.

It is a super-3 number, since 3×122100212112102³ (a number of 43 digits) contains 333 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 (122100212112107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161508216702 + ... + 161508217457.

It is an arithmetic number, because the mean of its divisors is an integer number (9690493024800).

Almost surely, 2^{122100212112102} is an apocalyptic number.

122100212112102 is an abundant number, since it is smaller than the sum of its proper divisors (187995564681498).

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

122100212112102 is a wasteful number, since it uses less digits than its factorization.

122100212112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323016434177 (or 323016434171 counting only the distinct ones).

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

Adding to 122100212112102 its reverse (201211212001221), we get a palindrome (323311424113323).

The spelling of 122100212112102 in words is "one hundred twenty-two trillion, one hundred billion, two hundred twelve million, one hundred twelve thousand, one hundred two".