2100001111011 has 48 divisors (see below), whose sum is σ = 3088266071904. Its totient is φ = 1374825457152.

The previous prime is 2100001111001. The next prime is 2100001111079. The reversal of 2100001111011 is 1101111000012.

It is not a de Polignac number, because 2100001111011 - 2¹⁴ = 2100001094627 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 = 2100001110984 and 2100001111002.

It is not an unprimeable number, because it can be changed into a prime (2100001111001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188894425 + ... + 188905541.

It is an arithmetic number, because the mean of its divisors is an integer number (64338876498).

Almost surely, 2^{2100001111011} is an apocalyptic number.

2100001111011 is a deficient number, since it is larger than the sum of its proper divisors (988264960893).

2100001111011 is a wasteful number, since it uses less digits than its factorization.

2100001111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12420 (or 12417 counting only the distinct ones).

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

Adding to 2100001111011 its reverse (1101111000012), we get a palindrome (3201112111023).

The spelling of 2100001111011 in words is "two trillion, one hundred billion, one million, one hundred eleven thousand, eleven".