2102011002100 has 72 divisors (see below), whose sum is σ = 4760204577408. Its totient is φ = 804159734400.

The previous prime is 2102011002079. The next prime is 2102011002167. The reversal of 2102011002100 is 12001102012.

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

It is a congruent number.

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, 23371417 + ... + 23461183.

It is an arithmetic number, because the mean of its divisors is an integer number (66113952464).

Almost surely, 2^{2102011002100} is an apocalyptic number.

2102011002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102011002100 is an abundant number, since it is smaller than the sum of its proper divisors (2658193575308).

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

2102011002100 is a wasteful number, since it uses less digits than its factorization.

2102011002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99985 (or 99978 counting only the distinct ones).

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

Adding to 2102011002100 its reverse (12001102012), we get a palindrome (2114012104112).

The spelling of 2102011002100 in words is "two trillion, one hundred two billion, eleven million, two thousand, one hundred".