20102102012100 has 72 divisors (see below), whose sum is σ = 58187404705248. Its totient is φ = 5358226630400.

The previous prime is 20102102012071. The next prime is 20102102012147. The reversal of 20102102012100 is 121020120102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13896666 + ... + 15274865.

It is an arithmetic number, because the mean of its divisors is an integer number (808158398684).

Almost surely, 2^{20102102012100} is an apocalyptic number.

20102102012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102102012100 is an abundant number, since it is smaller than the sum of its proper divisors (38085302693148).

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

20102102012100 is a wasteful number, since it uses less digits than its factorization.

20102102012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29173845 (or 29173838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20102102012100 its reverse (121020120102), we get a palindrome (20223122132202).

The spelling of 20102102012100 in words is "twenty trillion, one hundred two billion, one hundred two million, twelve thousand, one hundred".