121200110100 has 108 divisors (see below), whose sum is σ = 380022044220. Its totient is φ = 32309222400.

The previous prime is 121200110081. The next prime is 121200110107. The reversal of 121200110100 is 1011002121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1208535696 + 119991574404 = 34764^2 + 346398^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121200110107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2877996 + ... + 2919804.

Almost surely, 2^121200110100 is an apocalyptic number.

121200110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121200110100 is an abundant number, since it is smaller than the sum of its proper divisors (258821934120).

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

121200110100 is a wasteful number, since it uses less digits than its factorization.

121200110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45050 (or 45040 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121200110100 its reverse (1011002121), we get a palindrome (122211112221).

The spelling of 121200110100 in words is "one hundred twenty-one billion, two hundred million, one hundred ten thousand, one hundred".