100120010111001 has 6 divisors (see below), whose sum is σ = 144617792382570. Its totient is φ = 66746673407328.

The previous prime is 100120010110919. The next prime is 100120010111003. The reversal of 100120010111001 is 100111010021001.

It can be written as a sum of positive squares in only one way, i.e., 91174234190400 + 8945775920601 = 9548520^2 + 2990949^2 .

It is not a de Polignac number, because 100120010111001 - 2¹¹ = 100120010108953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11124445567889 = 100120010111001 / (1 + 0 + 0 + 1 + 2 + 0 + 0 + 1 + 0 + 1 + 1 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (100120010111003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5562222783936 + ... + 5562222783953.

It is an arithmetic number, because the mean of its divisors is an integer number (24102965397095).

Almost surely, 2^{100120010111001} is an apocalyptic number.

It is an amenable number.

100120010111001 is a deficient number, since it is larger than the sum of its proper divisors (44497782271569).

100120010111001 is a wasteful number, since it uses less digits than its factorization.

100120010111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11124445567895 (or 11124445567892 counting only the distinct ones).

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

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

The spelling of 100120010111001 in words is "one hundred trillion, one hundred twenty billion, ten million, one hundred eleven thousand, one".