2100021011010 has 96 divisors (see below), whose sum is σ = 5887206194688. Its totient is φ = 516299909760.

The previous prime is 2100021010999. The next prime is 2100021011017. The reversal of 2100021011010 is 101101200012.

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 = 2100021010983 and 2100021011001.

It is not an unprimeable number, because it can be changed into a prime (2100021011017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127546 + ... + 2053365.

It is an arithmetic number, because the mean of its divisors is an integer number (61325064528).

Almost surely, 2^{2100021011010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100021011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943603097344).

2100021011010 is an abundant number, since it is smaller than the sum of its proper divisors (3787185183678).

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

2100021011010 is a wasteful number, since it uses less digits than its factorization.

2100021011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181760 (or 2181757 counting only the distinct ones).

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

Adding to 2100021011010 its reverse (101101200012), we get a palindrome (2201122211022).

The spelling of 2100021011010 in words is "two trillion, one hundred billion, twenty-one million, eleven thousand, ten".