100100000211101 has 32 divisors (see below), whose sum is σ = 110431305925632. Its totient is φ = 89976424000000.

The previous prime is 100100000211091. The next prime is 100100000211139. The reversal of 100100000211101 is 101112000001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100100000211101 - 2¹⁸ = 100099999948957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100000211191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4057382996 + ... + 4057407666.

It is an arithmetic number, because the mean of its divisors is an integer number (3450978310176).

Almost surely, 2^{100100000211101} is an apocalyptic number.

100100000211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100000211101 is a deficient number, since it is larger than the sum of its proper divisors (10331305714531).

100100000211101 is a wasteful number, since it uses less digits than its factorization.

100100000211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29605.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100100000211101 its reverse (101112000001001), we get a palindrome (201212000212102).

The spelling of 100100000211101 in words is "one hundred trillion, one hundred billion, two hundred eleven thousand, one hundred one".