2110001121001 has 8 divisors (see below), whose sum is σ = 2235960216000. Its totient is φ = 1985532666480.

The previous prime is 2110001120923. The next prime is 2110001121023. The reversal of 2110001121001 is 1001211000112.

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 2110001121001 - 2⁷ = 2110001120873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2110001121401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372657205 + ... + 372662866.

It is an arithmetic number, because the mean of its divisors is an integer number (279495027000).

Almost surely, 2^{2110001121001} is an apocalyptic number.

It is an amenable number.

2110001121001 is a deficient number, since it is larger than the sum of its proper divisors (125959094999).

2110001121001 is a wasteful number, since it uses less digits than its factorization.

2110001121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745320239.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2110001121001 its reverse (1001211000112), we get a palindrome (3111212121113).

It can be divided in two parts, 211000112 and 1001, that multiplied together give a palindrome (211211112112).

The spelling of 2110001121001 in words is "two trillion, one hundred ten billion, one million, one hundred twenty-one thousand, one".