121102122102100 has 72 divisors (see below), whose sum is σ = 287844760115640. Its totient is φ = 44019270328320.

The previous prime is 121102122102089. The next prime is 121102122102127. The reversal of 121102122102100 is 1201221201121.

It can be written as a sum of positive squares in 12 ways, for example, as 32694814971844 + 88407307130256 = 5717938^2 + 9402516^2 .

It is a congruent number.

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, 1228166949 + ... + 1228265548.

It is an arithmetic number, because the mean of its divisors is an integer number (3997843890495).

Almost surely, 2^{121102122102100} is an apocalyptic number.

121102122102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121102122102100 is an abundant number, since it is smaller than the sum of its proper divisors (166742638013540).

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

121102122102100 is a wasteful number, since it uses less digits than its factorization.

121102122102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456432557 (or 2456432550 counting only the distinct ones).

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

Adding to 121102122102100 its reverse (1201221201121), we get a palindrome (122303343303221).

The spelling of 121102122102100 in words is "one hundred twenty-one trillion, one hundred two billion, one hundred twenty-two million, one hundred two thousand, one hundred".