2100102121000 has 128 divisors (see below), whose sum is σ = 5294277948960. Its totient is φ = 775126272000.

The previous prime is 2100102120989. The next prime is 2100102121027. The reversal of 2100102121000 is 1212010012.

It can be written as a sum of positive squares in 16 ways, for example, as 1210849348996 + 889252772004 = 1100386^2 + 943002^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35603532 + ... + 35662468.

Almost surely, 2^{2100102121000} is an apocalyptic number.

2100102121000 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 2100102121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647138974480).

2100102121000 is an abundant number, since it is smaller than the sum of its proper divisors (3194175827960).

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

2100102121000 is a wasteful number, since it uses less digits than its factorization.

2100102121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61712 (or 61698 counting only the distinct ones).

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

Adding to 2100102121000 its reverse (1212010012), we get a palindrome (2101314131012).

The spelling of 2100102121000 in words is "two trillion, one hundred billion, one hundred two million, one hundred twenty-one thousand".