10121100020200 has 72 divisors (see below), whose sum is σ = 25480917428850. Its totient is φ = 3737021533440.

The previous prime is 10121100020167. The next prime is 10121100020209. The reversal of 10121100020200 is 202000112101.

It can be written as a sum of positive squares in 9 ways, for example, as 51609843684 + 10069490176516 = 227178^2 + 3173246^2 .

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 (10121100020209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 149686615 + ... + 149754214.

Almost surely, 2^{10121100020200} is an apocalyptic number.

10121100020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121100020200 is an abundant number, since it is smaller than the sum of its proper divisors (15359817408650).

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

10121100020200 is a wasteful number, since it uses less digits than its factorization.

10121100020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299440871 (or 299440849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10121100020200 its reverse (202000112101), we get a palindrome (10323100132301).

The spelling of 10121100020200 in words is "ten trillion, one hundred twenty-one billion, one hundred million, twenty thousand, two hundred".