121321110100 has 36 divisors (see below), whose sum is σ = 263367823068. Its totient is φ = 48509824000.

The previous prime is 121321110067. The next prime is 121321110101. The reversal of 121321110100 is 1011123121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2821309456 + 118499800644 = 53116^2 + 344238^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121321110101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30660 + ... + 493540.

It is an arithmetic number, because the mean of its divisors is an integer number (7315772863).

Almost surely, 2^121321110100 is an apocalyptic number.

121321110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121321110100 is an abundant number, since it is smaller than the sum of its proper divisors (142046712968).

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

121321110100 is a wasteful number, since it uses less digits than its factorization.

121321110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465516 (or 465509 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 121321110100 its reverse (1011123121), we get a palindrome (122332233221).

The spelling of 121321110100 in words is "one hundred twenty-one billion, three hundred twenty-one million, one hundred ten thousand, one hundred".