2111121211001 has 16 divisors (see below), whose sum is σ = 2311640127168. Its totient is φ = 1912037140800.

The previous prime is 2111121210971. The next prime is 2111121211039. The reversal of 2111121211001 is 1001121211112.

It is a cyclic number.

It is not a de Polignac number, because 2111121211001 - 2²⁶ = 2111054102137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111121211601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27662171 + ... + 27738383.

It is an arithmetic number, because the mean of its divisors is an integer number (144477507948).

Almost surely, 2^{2111121211001} is an apocalyptic number.

It is an amenable number.

2111121211001 is a deficient number, since it is larger than the sum of its proper divisors (200518916167).

2111121211001 is a wasteful number, since it uses less digits than its factorization.

2111121211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85592.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2111121211001 its reverse (1001121211112), we get a palindrome (3112242422113).

The spelling of 2111121211001 in words is "two trillion, one hundred eleven billion, one hundred twenty-one million, two hundred eleven thousand, one".