100200000112101 has 80 divisors (see below), whose sum is σ = 159642297904320. Its totient is φ = 62412090554880.

The previous prime is 100200000112087. The next prime is 100200000112129. The reversal of 100200000112101 is 101211000002001.

It is a happy number.

It is not a de Polignac number, because 100200000112101 - 2¹³ = 100200000103909 is a prime.

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 (100200000112171) 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 79 ways as a sum of consecutive naturals, for example, 2620479355 + ... + 2620517591.

It is an arithmetic number, because the mean of its divisors is an integer number (1995528723804).

Almost surely, 2^{100200000112101} is an apocalyptic number.

It is an amenable number.

100200000112101 is a deficient number, since it is larger than the sum of its proper divisors (59442297792219).

100200000112101 is a wasteful number, since it uses less digits than its factorization.

100200000112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52096 (or 52087 counting only the distinct ones).

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

Adding to 100200000112101 its reverse (101211000002001), we get a palindrome (201411000114102).

The spelling of 100200000112101 in words is "one hundred trillion, two hundred billion, one hundred twelve thousand, one hundred one".