100040211213101 has 8 divisors (see below), whose sum is σ = 105988471799040. Its totient is φ = 94099010880448.

The previous prime is 100040211213083. The next prime is 100040211213109. The reversal of 100040211213101 is 101312112040001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100040211213101 - 2³⁰ = 100039137471277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100040211213101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100040211213109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1765034141 + ... + 1765090818.

It is an arithmetic number, because the mean of its divisors is an integer number (13248558974880).

Almost surely, 2^{100040211213101} is an apocalyptic number.

It is an amenable number.

100040211213101 is a deficient number, since it is larger than the sum of its proper divisors (5948260585939).

100040211213101 is a wasteful number, since it uses less digits than its factorization.

100040211213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530126643.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100040211213101 its reverse (101312112040001), we get a palindrome (201352323253102).

The spelling of 100040211213101 in words is "one hundred trillion, forty billion, two hundred eleven million, two hundred thirteen thousand, one hundred one".