121012002211100 has 288 divisors, whose sum is σ = 360078149523456. Its totient is φ = 34075859097600.

The previous prime is 121012002211013. The next prime is 121012002211117. The reversal of 121012002211100 is 1112200210121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8156057 + ... + 17565456.

It is an arithmetic number, because the mean of its divisors is an integer number (1250271352512).

Almost surely, 2^{121012002211100} is an apocalyptic number.

121012002211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121012002211100 is an abundant number, since it is smaller than the sum of its proper divisors (239066147312356).

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

121012002211100 is a wasteful number, since it uses less digits than its factorization.

121012002211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25721605 (or 25721598 counting only the distinct ones).

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

Adding to 121012002211100 its reverse (1112200210121), we get a palindrome (122124202421221).

The spelling of 121012002211100 in words is "one hundred twenty-one trillion, twelve billion, two million, two hundred eleven thousand, one hundred".