2101100120210 has 144 divisors (see below), whose sum is σ = 4774592061000. Its totient is φ = 663470825472.

The previous prime is 2101100120209. The next prime is 2101100120227. The reversal of 2101100120210 is 120210011012.

It can be written as a sum of positive squares in 12 ways, for example, as 423824569 + 2100676295641 = 20587^2 + 1449371^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2101100120191 and 2101100120200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37153436 + ... + 37209944.

Almost surely, 2^{2101100120210} is an apocalyptic number.

2101100120210 is an abundant number, since it is smaller than the sum of its proper divisors (2673491940790).

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

2101100120210 is a wasteful number, since it uses less digits than its factorization.

2101100120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57005 (or 56985 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2101100120210 its reverse (120210011012), we get a palindrome (2221310131222).

The spelling of 2101100120210 in words is "two trillion, one hundred one billion, one hundred million, one hundred twenty thousand, two hundred ten".