2110101121001 has 16 divisors (see below), whose sum is σ = 2246944328640. Its totient is φ = 1974673559040.

The previous prime is 2110101120973. The next prime is 2110101121049. The reversal of 2110101121001 is 1001211010112.

It is a cyclic number.

It is not a de Polignac number, because 2110101121001 - 2²⁶ = 2110034012137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2110101151001) 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, 33840485 + ... + 33902781.

It is an arithmetic number, because the mean of its divisors is an integer number (140434020540).

Almost surely, 2^{2110101121001} is an apocalyptic number.

It is an amenable number.

2110101121001 is a deficient number, since it is larger than the sum of its proper divisors (136843207639).

2110101121001 is a wasteful number, since it uses less digits than its factorization.

2110101121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73624.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2110101121001 its reverse (1001211010112), we get a palindrome (3111312131113).

It can be divided in two parts, 211010112 and 1001, that multiplied together give a palindrome (211221122112).

The spelling of 2110101121001 in words is "two trillion, one hundred ten billion, one hundred one million, one hundred twenty-one thousand, one".