10121012220200 has 72 divisors (see below), whose sum is σ = 27373207056750. Its totient is φ = 3470061329280.

The previous prime is 10121012220157. The next prime is 10121012220217. The reversal of 10121012220200 is 202221012101.

It can be written as a sum of positive squares in 3 ways, for example, as 9646701775396 + 474310444804 = 3105914^2 + 688702^2 .

It is a super-2 number, since 2×10121012220200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 516368375 + ... + 516387974.

Almost surely, 2^{10121012220200} is an apocalyptic number.

10121012220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121012220200 is an abundant number, since it is smaller than the sum of its proper divisors (17252194836550).

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

10121012220200 is a wasteful number, since it uses less digits than its factorization.

10121012220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032756379 (or 1032756363 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10121012220200 its reverse (202221012101), we get a palindrome (10323233232301).

The spelling of 10121012220200 in words is "ten trillion, one hundred twenty-one billion, twelve million, two hundred twenty thousand, two hundred".