20001010120100 has 18 divisors (see below), whose sum is σ = 43402191960834. Its totient is φ = 8000404048000.

The previous prime is 20001010120001. The next prime is 20001010120103. The reversal of 20001010120100 is 102101010002.

It can be written as a sum of positive squares in 3 ways, for example, as 5760998443264 + 14240011676836 = 2400208^2 + 3773594^2 .

It is not an unprimeable number, because it can be changed into a prime (20001010120103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100005050501 + ... + 100005050700.

It is an arithmetic number, because the mean of its divisors is an integer number (2411232886713).

Almost surely, 2^{20001010120100} is an apocalyptic number.

20001010120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001010120100 is an abundant number, since it is smaller than the sum of its proper divisors (23401181840734).

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

20001010120100 is a wasteful number, since it uses less digits than its factorization.

20001010120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200010101215 (or 200010101208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20001010120100 its reverse (102101010002), we get a palindrome (20103111130102).

The spelling of 20001010120100 in words is "twenty trillion, one billion, ten million, one hundred twenty thousand, one hundred".