2101001101011 has 32 divisors (see below), whose sum is σ = 3252356113920. Its totient is φ = 1337940739872.

The previous prime is 2101001100937. The next prime is 2101001101019. The reversal of 2101001101011 is 1101011001012.

It is not a de Polignac number, because 2101001101011 - 2¹⁰ = 2101001099987 is a prime.

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 = 2101001100984 and 2101001101002.

It is not an unprimeable number, because it can be changed into a prime (2101001101019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1852621 + ... + 2763006.

It is an arithmetic number, because the mean of its divisors is an integer number (101636128560).

Almost surely, 2^{2101001101011} is an apocalyptic number.

2101001101011 is a deficient number, since it is larger than the sum of its proper divisors (1151355012909).

2101001101011 is a wasteful number, since it uses less digits than its factorization.

2101001101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616392 (or 4616386 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2101001101011 its reverse (1101011001012), we get a palindrome (3202012102023).

Subtracting from 2101001101011 its reverse (1101011001012), we obtain a palindrome (999990099999).

The spelling of 2101001101011 in words is "two trillion, one hundred one billion, one million, one hundred one thousand, eleven".