2101020110010 has 128 divisors (see below), whose sum is σ = 5940031104000. Its totient is φ = 526965258816.

The previous prime is 2101020110009. The next prime is 2101020110039. The reversal of 2101020110010 is 100110201012.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2101020109974 and 2101020110001.

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 63 ways as a sum of consecutive naturals, for example, 760152 + ... + 2186291.

It is an arithmetic number, because the mean of its divisors is an integer number (46406493000).

Almost surely, 2^{2101020110010} is an apocalyptic number.

2101020110010 is an abundant number, since it is smaller than the sum of its proper divisors (3839010993990).

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

2101020110010 is a wasteful number, since it uses less digits than its factorization.

2101020110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946617 (or 2946611 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2101020110010 its reverse (100110201012), we get a palindrome (2201130311022).

The spelling of 2101020110010 in words is "two trillion, one hundred one billion, twenty million, one hundred ten thousand, ten".