2110100102000 has 160 divisors (see below), whose sum is σ = 5572743321600. Its totient is φ = 766387872000.

The previous prime is 2110100101969. The next prime is 2110100102017. The reversal of 2110100102000 is 2010010112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18400841 + ... + 18515159.

It is an arithmetic number, because the mean of its divisors is an integer number (34829645760).

Almost surely, 2^{2110100102000} is an apocalyptic number.

2110100102000 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 2110100102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786371660800).

2110100102000 is an abundant number, since it is smaller than the sum of its proper divisors (3462643219600).

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

2110100102000 is a wasteful number, since it uses less digits than its factorization.

2110100102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115192 (or 115176 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2110100102000 its reverse (2010010112), we get a palindrome (2112110112112).

The spelling of 2110100102000 in words is "two trillion, one hundred ten billion, one hundred million, one hundred two thousand".