100120112001 has 384 divisors, whose sum is σ = 208661806080. Its totient is φ = 44718096384.

The previous prime is 100120111979. The next prime is 100120112087. The reversal of 100120112001 is 100211021001.

It is a happy number.

It is not a de Polignac number, because 100120112001 - 2¹⁴ = 100120095617 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 (100120112101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 518756961 + ... + 518757153.

It is an arithmetic number, because the mean of its divisors is an integer number (543390120).

Almost surely, 2^100120112001 is an apocalyptic number.

It is an amenable number.

100120112001 is an abundant number, since it is smaller than the sum of its proper divisors (108541694079).

100120112001 is a wasteful number, since it uses less digits than its factorization.

100120112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 342 counting only the distinct ones).

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

Adding to 100120112001 its reverse (100211021001), we get a palindrome (200331133002).

The spelling of 100120112001 in words is "one hundred billion, one hundred twenty million, one hundred twelve thousand, one".