101111000022101 has 16 divisors (see below), whose sum is σ = 107086202270208. Its totient is φ = 95138856288000.

The previous prime is 101111000022079. The next prime is 101111000022167. The reversal of 101111000022101 is 101220000111101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111000022101 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 (101111000022191) 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, 1141279316 + ... + 1141367906.

It is an arithmetic number, because the mean of its divisors is an integer number (6692887641888).

Almost surely, 2^{101111000022101} is an apocalyptic number.

It is an amenable number.

101111000022101 is a deficient number, since it is larger than the sum of its proper divisors (5975202248107).

101111000022101 is an equidigital number, since it uses as much as digits as its factorization.

101111000022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105092.

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

Adding to 101111000022101 its reverse (101220000111101), we get a palindrome (202331000133202).

The spelling of 101111000022101 in words is "one hundred one trillion, one hundred eleven billion, twenty-two thousand, one hundred one".