2100102102144 has 96 divisors (see below), whose sum is σ = 6044992522140. Its totient is φ = 699833640960.

The previous prime is 2100102102113. The next prime is 2100102102149. The reversal of 2100102102144 is 4412012010012.

It can be written as a sum of positive squares in 2 ways, for example, as 1652541102144 + 447561000000 = 1285512^2 + 669000^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2100102102149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3792414 + ... + 4310754.

Almost surely, 2^{2100102102144} is an apocalyptic number.

2100102102144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2100102102144 is an abundant number, since it is smaller than the sum of its proper divisors (3944890419996).

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

2100102102144 is a wasteful number, since it uses less digits than its factorization.

2100102102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521878 (or 521863 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2100102102144 its reverse (4412012010012), we get a palindrome (6512114112156).

The spelling of 2100102102144 in words is "two trillion, one hundred billion, one hundred two million, one hundred two thousand, one hundred forty-four".