2102120100100 has 18 divisors (see below), whose sum is σ = 4561600617434. Its totient is φ = 840848040000.

The previous prime is 2102120100077. The next prime is 2102120100103. The reversal of 2102120100100 is 10010212012.

It can be written as a sum of positive squares in 3 ways, for example, as 604061601796 + 1498058498304 = 777214^2 + 1223952^2 .

It is a super-3 number, since 3×2102120100100³ (a number of 38 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2102120100103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10510600401 + ... + 10510600600.

Almost surely, 2^{2102120100100} is an apocalyptic number.

2102120100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102120100100 is an abundant number, since it is smaller than the sum of its proper divisors (2459480517334).

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

2102120100100 is a wasteful number, since it uses less digits than its factorization.

2102120100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21021201015 (or 21021201008 counting only the distinct ones).

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

Adding to 2102120100100 its reverse (10010212012), we get a palindrome (2112130312112).

The spelling of 2102120100100 in words is "two trillion, one hundred two billion, one hundred twenty million, one hundred thousand, one hundred".