100040213011101 has 16 divisors (see below), whose sum is σ = 145594648542720. Its totient is φ = 60596427363120.

The previous prime is 100040213011091. The next prime is 100040213011147. The reversal of 100040213011101 is 101110312040001.

It is not a de Polignac number, because 100040213011101 - 2²⁹ = 100039676140189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100040213011001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850059391 + ... + 850177068.

It is an arithmetic number, because the mean of its divisors is an integer number (9099665533920).

Almost surely, 2^{100040213011101} is an apocalyptic number.

100040213011101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100040213011101 is a deficient number, since it is larger than the sum of its proper divisors (45554435531619).

100040213011101 is a wasteful number, since it uses less digits than its factorization.

100040213011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700238256.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100040213011101 its reverse (101110312040001), we get a palindrome (201150525051102).

The spelling of 100040213011101 in words is "one hundred trillion, forty billion, two hundred thirteen million, eleven thousand, one hundred one".