10011200021000 has 64 divisors (see below), whose sum is σ = 23429178143280. Its totient is φ = 4003972300800.

The previous prime is 10011200020981. The next prime is 10011200021057. The reversal of 10011200021000 is 12000211001.

It can be written as a sum of positive squares in 8 ways, for example, as 910829731876 + 9100370289124 = 954374^2 + 3016682^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7306334 + ... + 8567666.

Almost surely, 2^{10011200021000} is an apocalyptic number.

10011200021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011200021000 is an abundant number, since it is smaller than the sum of its proper divisors (13417978122280).

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

10011200021000 is a wasteful number, since it uses less digits than its factorization.

10011200021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269291 (or 1269277 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10011200021000 its reverse (12000211001), we get a palindrome (10023200232001).

The spelling of 10011200021000 in words is "ten trillion, eleven billion, two hundred million, twenty-one thousand".