20101210002100 has 72 divisors (see below), whose sum is σ = 45073088637696. Its totient is φ = 7773098880000.

The previous prime is 20101210002079. The next prime is 20101210002101. The reversal of 20101210002100 is 120001210102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101210002101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328861 + ... + 6349060.

It is an arithmetic number, because the mean of its divisors is an integer number (626015119968).

Almost surely, 2^{20101210002100} is an apocalyptic number.

20101210002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101210002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22536544318848).

20101210002100 is an abundant number, since it is smaller than the sum of its proper divisors (24971878635596).

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

20101210002100 is a wasteful number, since it uses less digits than its factorization.

20101210002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6678937 (or 6678930 counting only the distinct ones).

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

Adding to 20101210002100 its reverse (120001210102), we get a palindrome (20221211212202).

It can be divided in two parts, 20101210002 and 100, that added together give a palindrome (20101210102).

The spelling of 20101210002100 in words is "twenty trillion, one hundred one billion, two hundred ten million, two thousand, one hundred".