2101010002120 has 32 divisors (see below), whose sum is σ = 4804768780920. Its totient is φ = 826626885120.

The previous prime is 2101010002111. The next prime is 2101010002123. The reversal of 2101010002120 is 212000101012.

It can be written as a sum of positive squares in 4 ways, for example, as 517786741476 + 1583223260644 = 719574^2 + 1258262^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2101010002097 and 2101010002106.

It is not an unprimeable number, because it can be changed into a prime (2101010002123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430532397 + ... + 430537276.

Almost surely, 2^{2101010002120} is an apocalyptic number.

2101010002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101010002120 is an abundant number, since it is smaller than the sum of its proper divisors (2703758778800).

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

2101010002120 is a wasteful number, since it uses less digits than its factorization.

2101010002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861069745 (or 861069741 counting only the distinct ones).

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

Adding to 2101010002120 its reverse (212000101012), we get a palindrome (2313010103132).

The spelling of 2101010002120 in words is "two trillion, one hundred one billion, ten million, two thousand, one hundred twenty".