121112010100 has 36 divisors (see below), whose sum is σ = 265138865964. Its totient is φ = 48016084480.

The previous prime is 121112010073. The next prime is 121112010161. The reversal of 121112010100 is 1010211121.

It can be written as a sum of positive squares in 6 ways, for example, as 38575316836 + 82536693264 = 196406^2 + 287292^2 .

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

It is a congruent number.

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, 5347639 + ... + 5370238.

It is an arithmetic number, because the mean of its divisors is an integer number (7364968499).

Almost surely, 2^121112010100 is an apocalyptic number.

121112010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121112010100 is an abundant number, since it is smaller than the sum of its proper divisors (144026855864).

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

121112010100 is a wasteful number, since it uses less digits than its factorization.

121112010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10718004 (or 10717997 counting only the distinct ones).

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

Adding to 121112010100 its reverse (1010211121), we get a palindrome (122122221221).

The spelling of 121112010100 in words is "one hundred twenty-one billion, one hundred twelve million, ten thousand, one hundred".