20101011110000 has 100 divisors (see below), whose sum is σ = 48935438415864. Its totient is φ = 7995981600000.

The previous prime is 20101011109951. The next prime is 20101011110003. The reversal of 20101011110000 is 1111010102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20101011110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101011110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3742766 + ... + 7362765.

Almost surely, 2^{20101011110000} is an apocalyptic number.

20101011110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101011110000 is an abundant number, since it is smaller than the sum of its proper divisors (28834427305864).

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

20101011110000 is a wasteful number, since it uses less digits than its factorization.

20101011110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11105740 (or 11105719 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 20101011110000 its reverse (1111010102), we get a palindrome (20102122120102).

The spelling of 20101011110000 in words is "twenty trillion, one hundred one billion, eleven million, one hundred ten thousand".