2110001000121 has 48 divisors (see below), whose sum is σ = 3602602398720. Its totient is φ = 1164527902080.

The previous prime is 2110001000119. The next prime is 2110001000153. The reversal of 2110001000121 is 1210001000112.

It is a happy number.

It is not a de Polignac number, because 2110001000121 - 2¹ = 2110001000119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2110001800121) 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, 67210 + ... + 2055363.

It is an arithmetic number, because the mean of its divisors is an integer number (75054216640).

Almost surely, 2^{2110001000121} is an apocalyptic number.

2110001000121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2110001000121 is a deficient number, since it is larger than the sum of its proper divisors (1492601398599).

2110001000121 is a wasteful number, since it uses less digits than its factorization.

2110001000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123126 (or 2123123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2110001000121 its reverse (1210001000112), we get a palindrome (3320002000233).

Subtracting from 2110001000121 its reverse (1210001000112), we obtain a palindrome (900000000009).

It can be divided in two parts, 211000 and 1000121, that added together give a palindrome (1211121).

The spelling of 2110001000121 in words is "two trillion, one hundred ten billion, one million, one hundred twenty-one", and thus it is an aban number.