10020111201000 has 96 divisors (see below), whose sum is σ = 33867975889800. Its totient is φ = 2672029651200.

The previous prime is 10020111200977. The next prime is 10020111201019. The reversal of 10020111201000 is 10211102001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1646484187716 + 8373627013284 = 1283154^2 + 2893722^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556663845 + ... + 556681844.

Almost surely, 2^{10020111201000} is an apocalyptic number.

10020111201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020111201000 is an abundant number, since it is smaller than the sum of its proper divisors (23847864688800).

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

10020111201000 is a wasteful number, since it uses less digits than its factorization.

10020111201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113345716 (or 1113345699 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10020111201000 its reverse (10211102001), we get a palindrome (10030322303001).

The spelling of 10020111201000 in words is "ten trillion, twenty billion, one hundred eleven million, two hundred one thousand".