20101102102000 has 40 divisors (see below), whose sum is σ = 48604464887472. Its totient is φ = 8040440840000.

The previous prime is 20101102101979. The next prime is 20101102102127. The reversal of 20101102102000 is 20120110102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5025273526 + ... + 5025277525.

Almost surely, 2^{20101102102000} is an apocalyptic number.

20101102102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101102102000 is an abundant number, since it is smaller than the sum of its proper divisors (28503362785472).

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

20101102102000 is a wasteful number, since it uses less digits than its factorization.

20101102102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050551074 (or 10050551058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101102102000 its reverse (20120110102), we get a palindrome (20121222212102).

The spelling of 20101102102000 in words is "twenty trillion, one hundred one billion, one hundred two million, one hundred two thousand".