121101012100 has 18 divisors (see below), whose sum is σ = 262789196474. Its totient is φ = 48440404800.

The previous prime is 121101012077. The next prime is 121101012103. The reversal of 121101012100 is 1210101121.

It can be written as a sum of positive squares in 3 ways, for example, as 41721330564 + 79379681536 = 204258^2 + 281744^2 .

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

It is not an unprimeable number, because it can be changed into a prime (121101012103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 605504961 + ... + 605505160.

Almost surely, 2^121101012100 is an apocalyptic number.

121101012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101012100 is an abundant number, since it is smaller than the sum of its proper divisors (141688184374).

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

121101012100 is a wasteful number, since it uses less digits than its factorization.

121101012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211010135 (or 1211010128 counting only the distinct ones).

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

Adding to 121101012100 its reverse (1210101121), we get a palindrome (122311113221).

The spelling of 121101012100 in words is "one hundred twenty-one billion, one hundred one million, twelve thousand, one hundred".