121201102012100 has 108 divisors (see below), whose sum is σ = 289228515242352. Its totient is φ = 44051960356800.

The previous prime is 121201102012027. The next prime is 121201102012127. The reversal of 121201102012100 is 1210201102121.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22799927 + ... + 27608673.

Almost surely, 2^{121201102012100} is an apocalyptic number.

121201102012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121201102012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144614257621176).

121201102012100 is an abundant number, since it is smaller than the sum of its proper divisors (168027413230252).

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

121201102012100 is a wasteful number, since it uses less digits than its factorization.

121201102012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810866 (or 4810848 counting only the distinct ones).

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

Adding to 121201102012100 its reverse (1210201102121), we get a palindrome (122411303114221).

The spelling of 121201102012100 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred two million, twelve thousand, one hundred".