2111011010001 has 24 divisors (see below), whose sum is σ = 3171233665600. Its totient is φ = 1403308122192.

The previous prime is 2111011009949. The next prime is 2111011010021. The reversal of 2111011010001 is 1000101101112.

It is not a de Polignac number, because 2111011010001 - 2¹¹ = 2111011007953 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111011010021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12361165 + ... + 12530778.

Almost surely, 2^{2111011010001} is an apocalyptic number.

It is an amenable number.

2111011010001 is a deficient number, since it is larger than the sum of its proper divisors (1060222655599).

2111011010001 is an equidigital number, since it uses as much as digits as its factorization.

2111011010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24892307 (or 24892295 counting only the distinct ones).

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

Adding to 2111011010001 its reverse (1000101101112), we get a palindrome (3111112111113).

The spelling of 2111011010001 in words is "two trillion, one hundred eleven billion, eleven million, ten thousand, one".