2111011121001 has 16 divisors (see below), whose sum is σ = 2819234534144. Its totient is φ = 1405064502864.

The previous prime is 2111011120993. The next prime is 2111011121027. The reversal of 2111011121001 is 1001211101112.

It is not a de Polignac number, because 2111011121001 - 2³ = 2111011120993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111011121081) 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, 49876290 + ... + 49918596.

It is an arithmetic number, because the mean of its divisors is an integer number (176202158384).

Almost surely, 2^{2111011121001} is an apocalyptic number.

It is an amenable number.

2111011121001 is a deficient number, since it is larger than the sum of its proper divisors (708223413143).

2111011121001 is a wasteful number, since it uses less digits than its factorization.

2111011121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68820.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2111011121001 its reverse (1001211101112), we get a palindrome (3112222222113).

It can be divided in two parts, 211101112 and 1001, that multiplied together give a palindrome (211312213112).

The spelling of 2111011121001 in words is "two trillion, one hundred eleven billion, eleven million, one hundred twenty-one thousand, one".