2101000210011 has 8 divisors (see below), whose sum is σ = 3112592903760. Its totient is φ = 1400666806656.

The previous prime is 2101000209989. The next prime is 2101000210087. The reversal of 2101000210011 is 1100120001012.

It is a happy number.

It is not a de Polignac number, because 2101000210011 - 2⁷ = 2101000209883 is a prime.

It is a super-2 number, since 2×2101000210011² (a number of 25 digits) contains 22 as substring.

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 = 2101000209975 and 2101000210002.

It is not an unprimeable number, because it can be changed into a prime (2101000210091) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 38907411270 + ... + 38907411323.

It is an arithmetic number, because the mean of its divisors is an integer number (389074112970).

Almost surely, 2^{2101000210011} is an apocalyptic number.

2101000210011 is a deficient number, since it is larger than the sum of its proper divisors (1011592693749).

2101000210011 is an equidigital number, since it uses as much as digits as its factorization.

2101000210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77814822602 (or 77814822596 counting only the distinct ones).

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

Adding to 2101000210011 its reverse (1100120001012), we get a palindrome (3201120211023).

The spelling of 2101000210011 in words is "two trillion, one hundred one billion, two hundred ten thousand, eleven".