2101001111111 has 8 divisors (see below), whose sum is σ = 2408398341504. Its totient is φ = 1795417434360.

The previous prime is 2101001111087. The next prime is 2101001111123. The reversal of 2101001111111 is 1111111001012.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2101001111111 - 2¹⁸ = 2101000848967 is a prime.

It is a Duffinian number.

2101001111111 is a modest number, since divided by 1111111 gives 210100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2101001111092 and 2101001111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101001111161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453385925 + ... + 453390558.

It is an arithmetic number, because the mean of its divisors is an integer number (301049792688).

Almost surely, 2^{2101001111111} is an apocalyptic number.

2101001111111 is a deficient number, since it is larger than the sum of its proper divisors (307397230393).

2101001111111 is an equidigital number, since it uses as much as digits as its factorization.

2101001111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906776821.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 2101001111111 its reverse (1111111001012), we get a palindrome (3212112112123).

The spelling of 2101001111111 in words is "two trillion, one hundred one billion, one million, one hundred eleven thousand, one hundred eleven".