100011101022101 has 4 divisors (see below), whose sum is σ = 100016557481100. Its totient is φ = 100005644563104.

The previous prime is 100011101022089. The next prime is 100011101022149. The reversal of 100011101022101 is 101220101110001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 29278812780100 + 70732288242001 = 5410990^2 + 8410249^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011101022101 - 2¹⁸ = 100011100759957 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 (100011101024101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2728202006 + ... + 2728238663.

It is an arithmetic number, because the mean of its divisors is an integer number (25004139370275).

Almost surely, 2^{100011101022101} is an apocalyptic number.

It is an amenable number.

100011101022101 is a deficient number, since it is larger than the sum of its proper divisors (5456458999).

100011101022101 is an equidigital number, since it uses as much as digits as its factorization.

100011101022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456458998.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100011101022101 its reverse (101220101110001), we get a palindrome (201231202132102).

The spelling of 100011101022101 in words is "one hundred trillion, eleven billion, one hundred one million, twenty-two thousand, one hundred one".