100111010021001 has 32 divisors (see below), whose sum is σ = 171592716921600. Its totient is φ = 57206291431824.

The previous prime is 100111010020991. The next prime is 100111010021051. The reversal of 100111010021001 is 100120010111001.

It is not a de Polignac number, because 100111010021001 - 2¹³ = 100111010012809 is a prime.

It is a super-2 number, since 2×100111010021001² (a number of 29 digits) contains 22 as substring.

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 (100111010021051) 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 31 ways as a sum of consecutive naturals, for example, 3269662986 + ... + 3269693603.

It is an arithmetic number, because the mean of its divisors is an integer number (5362272403800).

Almost surely, 2^{100111010021001} is an apocalyptic number.

It is an amenable number.

100111010021001 is a deficient number, since it is larger than the sum of its proper divisors (71481706900599).

100111010021001 is an frugal number, since it uses more digits than its factorization.

100111010021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539356617 (or 6539356599 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111010021001 its reverse (100120010111001), we get a palindrome (200231020132002).

The spelling of 100111010021001 in words is "one hundred trillion, one hundred eleven billion, ten million, twenty-one thousand, one".