2120102200100 has 72 divisors (see below), whose sum is σ = 4666164888000. Its totient is φ = 836037417600.

The previous prime is 2120102200087. The next prime is 2120102200109. The reversal of 2120102200100 is 10022010212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2120102200109) 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, 1680395 + ... + 2657805.

Almost surely, 2^{2120102200100} is an apocalyptic number.

2120102200100 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 2120102200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333082444000).

2120102200100 is an abundant number, since it is smaller than the sum of its proper divisors (2546062687900).

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

2120102200100 is a wasteful number, since it uses less digits than its factorization.

2120102200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977733 (or 977726 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2120102200100 its reverse (10022010212), we get a palindrome (2130124210312).

The spelling of 2120102200100 in words is "two trillion, one hundred twenty billion, one hundred two million, two hundred thousand, one hundred".