2120102112100 has 144 divisors (see below), whose sum is σ = 5488898688000. Its totient is φ = 694978542720.

The previous prime is 2120102112061. The next prime is 2120102112131. The reversal of 2120102112100 is 12112010212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37629751 + ... + 37686049.

It is an arithmetic number, because the mean of its divisors is an integer number (38117352000).

Almost surely, 2^{2120102112100} is an apocalyptic number.

2120102112100 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 2120102112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744449344000).

2120102112100 is an abundant number, since it is smaller than the sum of its proper divisors (3368796575900).

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

2120102112100 is a wasteful number, since it uses less digits than its factorization.

2120102112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58682 (or 58675 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2120102112100 its reverse (12112010212), we get a palindrome (2132214122312).

The spelling of 2120102112100 in words is "two trillion, one hundred twenty billion, one hundred two million, one hundred twelve thousand, one hundred".