121201112210100 has 864 divisors, whose sum is σ = 412064209536000. Its totient is φ = 27281299046400.

The previous prime is 121201112210051. The next prime is 121201112210117. The reversal of 121201112210100 is 1012211102121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121201112210100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7744967076 + ... + 7744982724.

Almost surely, 2^{121201112210100} is an apocalyptic number.

121201112210100 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 121201112210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206032104768000).

121201112210100 is an abundant number, since it is smaller than the sum of its proper divisors (290863097325900).

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

121201112210100 is a wasteful number, since it uses less digits than its factorization.

121201112210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15833 (or 15779 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121201112210100 its reverse (1012211102121), we get a palindrome (122213323312221).

The spelling of 121201112210100 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred twelve million, two hundred ten thousand, one hundred".