2100021011001 has 10 divisors (see below), whose sum is σ = 3137068423962. Its totient is φ = 1400014007280.

The previous prime is 2100021010999. The next prime is 2100021011017. The reversal of 2100021011001 is 1001101200012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2088894980601 + 11126030400 = 1445301^2 + 105480^2 .

It is not a de Polignac number, because 2100021011001 - 2¹ = 2100021010999 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2100021011701) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 12963092580 + ... + 12963092741.

Almost surely, 2^{2100021011001} is an apocalyptic number.

It is an amenable number.

2100021011001 is a deficient number, since it is larger than the sum of its proper divisors (1037047412961).

2100021011001 is an equidigital number, since it uses as much as digits as its factorization.

2100021011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25926185333 (or 25926185324 counting only the distinct ones).

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

Adding to 2100021011001 its reverse (1001101200012), we get a palindrome (3101122211013).

The spelling of 2100021011001 in words is "two trillion, one hundred billion, twenty-one million, eleven thousand, one".