2101102110100 has 108 divisors (see below), whose sum is σ = 5486671447740. Its totient is φ = 695537203200.

The previous prime is 2101102110083. The next prime is 2101102110103. The reversal of 2101102110100 is 10112011012.

It can be written as a sum of positive squares in 6 ways, for example, as 237991768336 + 1863110341764 = 487844^2 + 1364958^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101102110103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7250941 + ... + 7535140.

It is an arithmetic number, because the mean of its divisors is an integer number (50802513405).

Almost surely, 2^{2101102110100} is an apocalyptic number.

2101102110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101102110100 is an abundant number, since it is smaller than the sum of its proper divisors (3385569337640).

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

2101102110100 is a wasteful number, since it uses less digits than its factorization.

2101102110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14786138 (or 14786124 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2101102110100 its reverse (10112011012), we get a palindrome (2111214121112).

The spelling of 2101102110100 in words is "two trillion, one hundred one billion, one hundred two million, one hundred ten thousand, one hundred".