121101101200 has 60 divisors (see below), whose sum is σ = 291085120228. Its totient is φ = 48417177600.

The previous prime is 121101101071. The next prime is 121101101227. The reversal of 121101101200 is 2101101121.

It can be written as a sum of positive squares in 6 ways, for example, as 22826375056 + 98274726144 = 151084^2 + 313488^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 773560 + ... + 916840.

Almost surely, 2^121101101200 is an apocalyptic number.

121101101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101101200 is an abundant number, since it is smaller than the sum of its proper divisors (169984019028).

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

121101101200 is a wasteful number, since it uses less digits than its factorization.

121101101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145412 (or 145401 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121101101200 its reverse (2101101121), we get a palindrome (123202202321).

The spelling of 121101101200 in words is "one hundred twenty-one billion, one hundred one million, one hundred one thousand, two hundred".