20102100120100 has 36 divisors (see below), whose sum is σ = 43622313212884. Its totient is φ = 8040700702080.

The previous prime is 20102100120041. The next prime is 20102100120103. The reversal of 20102100120100 is 102100120102.

It can be written as a sum of positive squares in 6 ways, for example, as 5321889114084 + 14780211006016 = 2306922^2 + 3844504^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20102100120103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4156822 + ... + 7581778.

Almost surely, 2^{20102100120100} is an apocalyptic number.

20102100120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102100120100 is an abundant number, since it is smaller than the sum of its proper divisors (23520213092784).

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

20102100120100 is a wasteful number, since it uses less digits than its factorization.

20102100120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483664 (or 3483657 counting only the distinct ones).

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

Adding to 20102100120100 its reverse (102100120102), we get a palindrome (20204200240202).

The spelling of 20102100120100 in words is "twenty trillion, one hundred two billion, one hundred million, one hundred twenty thousand, one hundred".