122001021011100 has 288 divisors, whose sum is σ = 444448300488192. Its totient is φ = 25099862400000.

The previous prime is 122001021011099. The next prime is 122001021011123. The reversal of 122001021011100 is 1110120100221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23812591 + ... + 28478790.

It is an arithmetic number, because the mean of its divisors is an integer number (1543223265584).

Almost surely, 2^{122001021011100} is an apocalyptic number.

122001021011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001021011100 is an abundant number, since it is smaller than the sum of its proper divisors (322447279477092).

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

122001021011100 is a wasteful number, since it uses less digits than its factorization.

122001021011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52291517 (or 52291510 counting only the distinct ones).

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

Adding to 122001021011100 its reverse (1110120100221), we get a palindrome (123111141111321).

The spelling of 122001021011100 in words is "one hundred twenty-two trillion, one billion, twenty-one million, eleven thousand, one hundred".