122101100541200 has 120 divisors (see below), whose sum is σ = 320388439020960. Its totient is φ = 44348710348800.

The previous prime is 122101100541197. The next prime is 122101100541271. The reversal of 122101100541200 is 2145001101221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12373049 + ... + 19932248.

It is an arithmetic number, because the mean of its divisors is an integer number (2669903658508).

Almost surely, 2^{122101100541200} is an apocalyptic number.

122101100541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101100541200 is an abundant number, since it is smaller than the sum of its proper divisors (198287338479760).

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

122101100541200 is a wasteful number, since it uses less digits than its factorization.

122101100541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32306185 (or 32306174 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 122101100541200 its reverse (2145001101221), we get a palindrome (124246101642421).

The spelling of 122101100541200 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred million, five hundred forty-one thousand, two hundred".