20101311107000 has 64 divisors (see below), whose sum is σ = 47038015664640. Its totient is φ = 8040362448000.

The previous prime is 20101311106991. The next prime is 20101311107021. The reversal of 20101311107000 is 70111310102.

It is a self number, because there is not a number n which added to its sum of digits gives 20101311107000.

It is a congruent number.

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, 57743465 + ... + 58090535.

It is an arithmetic number, because the mean of its divisors is an integer number (734968994760).

Almost surely, 2^{20101311107000} is an apocalyptic number.

20101311107000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101311107000 is an abundant number, since it is smaller than the sum of its proper divisors (26936704557640).

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

20101311107000 is a wasteful number, since it uses less digits than its factorization.

20101311107000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405009 (or 404995 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 20101311107000 its reverse (70111310102), we get a palindrome (20171422417102).

The spelling of 20101311107000 in words is "twenty trillion, one hundred one billion, three hundred eleven million, one hundred seven thousand".