2100102210000 has 600 divisors, whose sum is σ = 7508546777160. Its totient is φ = 547582464000.

The previous prime is 2100102209927. The next prime is 2100102210007. The reversal of 2100102210000 is 122010012.

It can be written as a sum of positive squares in 20 ways, for example, as 2099357575056 + 744634944 = 1448916^2 + 27288^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100102210007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1893689446 + ... + 1893690554.

Almost surely, 2^{2100102210000} is an apocalyptic number.

2100102210000 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 2100102210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754273388580).

2100102210000 is an abundant number, since it is smaller than the sum of its proper divisors (5408444567160).

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

2100102210000 is a wasteful number, since it uses less digits than its factorization.

2100102210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2100102210000 its reverse (122010012), we get a palindrome (2100224220012).

It can be divided in two parts, 2100 and 102210000, that added together give a square (102212100 = 10110²).

The spelling of 2100102210000 in words is "two trillion, one hundred billion, one hundred two million, two hundred ten thousand".