2110112033001 has 16 divisors (see below), whose sum is σ = 3268120434048. Its totient is φ = 1186011446400.

The previous prime is 2110112032993. The next prime is 2110112033009. The reversal of 2110112033001 is 1003302110112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2110112032993) and next prime (2110112033009).

It is not a de Polignac number, because 2110112033001 - 2³ = 2110112032993 is a prime.

It is a super-2 number, since 2×2110112033001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2110112033009) 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 15 ways as a sum of consecutive naturals, for example, 823617780 + ... + 823620341.

It is an arithmetic number, because the mean of its divisors is an integer number (204257527128).

Almost surely, 2^{2110112033001} is an apocalyptic number.

2110112033001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2110112033001 is a deficient number, since it is larger than the sum of its proper divisors (1158008401047).

2110112033001 is a wasteful number, since it uses less digits than its factorization.

2110112033001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647238192.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2110112033001 its reverse (1003302110112), we get a palindrome (3113414143113).

The spelling of 2110112033001 in words is "two trillion, one hundred ten billion, one hundred twelve million, thirty-three thousand, one".