100110020011001 has 96 divisors (see below), whose sum is σ = 138289213219584. Its totient is φ = 70502329497600.

The previous prime is 100110020010961. The next prime is 100110020011003.

It is a happy number.

100110020011001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100110020011001 - 2⁴² = 95711973499897 is a prime.

It is a super-2 number, since 2×100110020011001² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100110020011001.

It is not an unprimeable number, because it can be changed into a prime (100110020011003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109666466 + ... + 110575556.

It is an arithmetic number, because the mean of its divisors is an integer number (1440512637704).

Almost surely, 2^{100110020011001} is an apocalyptic number.

100110020011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110020011001 is a deficient number, since it is larger than the sum of its proper divisors (38179193208583).

100110020011001 is a wasteful number, since it uses less digits than its factorization.

100110020011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909343 (or 909332 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The spelling of 100110020011001 in words is "one hundred trillion, one hundred ten billion, twenty million, eleven thousand, one".