122011212212100 has 54 divisors (see below), whose sum is σ = 382437366280970. Its totient is φ = 32536323256320.

The previous prime is 122011212212077. The next prime is 122011212212129. The reversal of 122011212212100 is 1212212110221.

122011212212100 is a `hidden beast` number, since 1 + 220 + 1 + 1 + 212 + 21 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16319159931204 + 105692052280896 = 4039698^2 + 10280664^2 .

It is a super-2 number, since 2×122011212212100² (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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67784005885 + ... + 67784007684.

Almost surely, 2^{122011212212100} is an apocalyptic number.

122011212212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011212212100 is an abundant number, since it is smaller than the sum of its proper divisors (260426154068870).

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

122011212212100 is a wasteful number, since it uses less digits than its factorization.

122011212212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135568013589 (or 135568013579 counting only the distinct ones).

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

Adding to 122011212212100 its reverse (1212212110221), we get a palindrome (123223424322321).

The spelling of 122011212212100 in words is "one hundred twenty-two trillion, eleven billion, two hundred twelve million, two hundred twelve thousand, one hundred".