2102010100000 has 144 divisors (see below), whose sum is σ = 5178048083712. Its totient is φ = 839916000000.

The previous prime is 2102010099967. The next prime is 2102010100019. The reversal of 2102010100000 is 10102012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99089395 + ... + 99110605.

It is an arithmetic number, because the mean of its divisors is an integer number (35958667248).

Almost surely, 2^{2102010100000} is an apocalyptic number.

2102010100000 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 2102010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589024041856).

2102010100000 is an abundant number, since it is smaller than the sum of its proper divisors (3076037983712).

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

2102010100000 is an frugal number, since it uses more digits than its factorization.

2102010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22237 (or 22209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2102010100000 its reverse (10102012), we get a palindrome (2102020202012).

The spelling of 2102010100000 in words is "two trillion, one hundred two billion, ten million, one hundred thousand".