121101221020100 has 72 divisors (see below), whose sum is σ = 265816196362080. Its totient is φ = 47885590990080.

The previous prime is 121101221020067. The next prime is 121101221020123. The reversal of 121101221020100 is 1020122101121.

121101221020100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121101221020100² (a number of 29 digits) contains 22 as substring.

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, 15457262 + ... + 21934661.

It is an arithmetic number, because the mean of its divisors is an integer number (3691891616140).

Almost surely, 2^{121101221020100} is an apocalyptic number.

121101221020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101221020100 is an abundant number, since it is smaller than the sum of its proper divisors (144714975341980).

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

121101221020100 is a wasteful number, since it uses less digits than its factorization.

121101221020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37392309 (or 37392302 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121101221020100 its reverse (1020122101121), we get a palindrome (122121343121221).

The spelling of 121101221020100 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred twenty-one million, twenty thousand, one hundred".