10020011112000 has 168 divisors, whose sum is σ = 35843250007032. Its totient is φ = 2672002944000.

The previous prime is 10020011111983. The next prime is 10020011112011. The reversal of 10020011112000 is 21111002001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1917471633984 + 8102539478016 = 1384728^2 + 2846496^2 .

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, 69511411 + ... + 69655410.

Almost surely, 2^{10020011112000} is an apocalyptic number.

10020011112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020011112000 is an abundant number, since it is smaller than the sum of its proper divisors (25823238895032).

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

10020011112000 is a wasteful number, since it uses less digits than its factorization.

10020011112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139166854 (or 139166831 counting only the distinct ones).

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

Adding to 10020011112000 its reverse (21111002001), we get a palindrome (10041122114001).

The spelling of 10020011112000 in words is "ten trillion, twenty billion, eleven million, one hundred twelve thousand".