122011120100100 has 288 divisors, whose sum is σ = 459263361263616. Its totient is φ = 24250657305600.

The previous prime is 122011120100069. The next prime is 122011120100161. The reversal of 122011120100100 is 1001021110221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114291889 + ... + 115354488.

It is an arithmetic number, because the mean of its divisors is an integer number (1594664448832).

Almost surely, 2^{122011120100100} is an apocalyptic number.

122011120100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011120100100 is an abundant number, since it is smaller than the sum of its proper divisors (337252241163516).

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

122011120100100 is a wasteful number, since it uses less digits than its factorization.

122011120100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229646435 (or 229646428 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122011120100100 its reverse (1001021110221), we get a palindrome (123012141210321).

The spelling of 122011120100100 in words is "one hundred twenty-two trillion, eleven billion, one hundred twenty million, one hundred thousand, one hundred".