122121220101100 has 144 divisors (see below), whose sum is σ = 307322692588800. Its totient is φ = 41653928160000.

The previous prime is 122121220101053. The next prime is 122121220101121. The reversal of 122121220101100 is 1101022121221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26815440 + ... + 31037239.

It is an arithmetic number, because the mean of its divisors is an integer number (2134185365200).

Almost surely, 2^{122121220101100} is an apocalyptic number.

122121220101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121220101100 is an abundant number, since it is smaller than the sum of its proper divisors (185201472487700).

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

122121220101100 is a wasteful number, since it uses less digits than its factorization.

122121220101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57852824 (or 57852817 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122121220101100 its reverse (1101022121221), we get a palindrome (123222242222321).

It can be divided in two parts, 1221212 and 20101100, that added together give a palindrome (21322312).

The spelling of 122121220101100 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty million, one hundred one thousand, one hundred".