100001120200101 has 24 divisors (see below), whose sum is σ = 144524766297600. Its totient is φ = 66631094210016.

The previous prime is 100001120200099. The next prime is 100001120200109. The reversal of 100001120200101 is 101002021100001.

It is a happy number.

It is not a de Polignac number, because 100001120200101 - 2¹ = 100001120200099 is a prime.

It is a super-4 number, since 4×100001120200101⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001120200109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221704000 + ... + 222154598.

It is an arithmetic number, because the mean of its divisors is an integer number (6021865262400).

Almost surely, 2^{100001120200101} is an apocalyptic number.

It is an amenable number.

100001120200101 is a deficient number, since it is larger than the sum of its proper divisors (44523646097499).

100001120200101 is a wasteful number, since it uses less digits than its factorization.

100001120200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463985 (or 463982 counting only the distinct ones).

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

Adding to 100001120200101 its reverse (101002021100001), we get a palindrome (201003141300102).

The spelling of 100001120200101 in words is "one hundred trillion, one billion, one hundred twenty million, two hundred thousand, one hundred one".