100120001012205 has 32 divisors (see below), whose sum is σ = 160327741685760. Its totient is φ = 53352100576320.

The previous prime is 100120001012167. The next prime is 100120001012219. The reversal of 100120001012205 is 502210100021001.

It is not a de Polignac number, because 100120001012205 - 2¹¹ = 100120001010157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120183660 + ... + 121013850.

It is an arithmetic number, because the mean of its divisors is an integer number (5010241927680).

Almost surely, 2^{100120001012205} is an apocalyptic number.

100120001012205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100120001012205 is a deficient number, since it is larger than the sum of its proper divisors (60207740673555).

100120001012205 is a wasteful number, since it uses less digits than its factorization.

100120001012205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837001.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 100120001012205 its reverse (502210100021001), we get a palindrome (602330101033206).

The spelling of 100120001012205 in words is "one hundred trillion, one hundred twenty billion, one million, twelve thousand, two hundred five".