100120001102001 has 40 divisors (see below), whose sum is σ = 150295468786848. Its totient is φ = 66419427816000.

The previous prime is 100120001101927. The next prime is 100120001102041. The reversal of 100120001102001 is 100201100021001.

It is a happy number.

It is not a de Polignac number, because 100120001102001 - 2¹⁴ = 100120001085617 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 (100120001102041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104307181 + ... + 105262661.

Almost surely, 2^{100120001102001} is an apocalyptic number.

It is an amenable number.

100120001102001 is a deficient number, since it is larger than the sum of its proper divisors (50175467684847).

100120001102001 is an equidigital number, since it uses as much as digits as its factorization.

100120001102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961835 (or 961826 counting only the distinct ones).

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

Adding to 100120001102001 its reverse (100201100021001), we get a palindrome (200321101123002).

The spelling of 100120001102001 in words is "one hundred trillion, one hundred twenty billion, one million, one hundred two thousand, one".