122101200111000 has 128 divisors (see below), whose sum is σ = 415588084853760. Its totient is φ = 29600290928000.

The previous prime is 122101200110951. The next prime is 122101200111071. The reversal of 122101200111000 is 111002101221.

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 31 ways as a sum of consecutive naturals, for example, 1849985184 + ... + 1850051183.

It is an arithmetic number, because the mean of its divisors is an integer number (3246781912920).

Almost surely, 2^{122101200111000} is an apocalyptic number.

122101200111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101200111000 is an abundant number, since it is smaller than the sum of its proper divisors (293486884742760).

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

122101200111000 is a wasteful number, since it uses less digits than its factorization.

122101200111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700036402 (or 3700036388 counting only the distinct ones).

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

Adding to 122101200111000 its reverse (111002101221), we get a palindrome (122212202212221).

The spelling of 122101200111000 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred million, one hundred eleven thousand".