2102101200010 has 48 divisors (see below), whose sum is σ = 4473699010920. Its totient is φ = 708905312640.

The previous prime is 2102101199963. The next prime is 2102101200011. The reversal of 2102101200010 is 100021012012.

It can be written as a sum of positive squares in 4 ways, for example, as 747444973401 + 1354656226609 = 864549^2 + 1163897^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2102101200010.

It is not an unprimeable number, because it can be changed into a prime (2102101200011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35134065 + ... + 35193844.

Almost surely, 2^{2102101200010} is an apocalyptic number.

2102101200010 is an abundant number, since it is smaller than the sum of its proper divisors (2371597810910).

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

2102101200010 is a wasteful number, since it uses less digits than its factorization.

2102101200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70327991 (or 70327984 counting only the distinct ones).

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

Adding to 2102101200010 its reverse (100021012012), we get a palindrome (2202122212022).

The spelling of 2102101200010 in words is "two trillion, one hundred two billion, one hundred one million, two hundred thousand, ten".