101111122200101 has 16 divisors (see below), whose sum is σ = 109139107056000. Its totient is φ = 93118990789440.

The previous prime is 101111122200071. The next prime is 101111122200119. The reversal of 101111122200101 is 101002221111101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111122200101 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 (101111122200401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19856696 + ... + 24423566.

It is an arithmetic number, because the mean of its divisors is an integer number (6821194191000).

Almost surely, 2^{101111122200101} is an apocalyptic number.

It is an amenable number.

101111122200101 is a deficient number, since it is larger than the sum of its proper divisors (8027984855899).

101111122200101 is a wasteful number, since it uses less digits than its factorization.

101111122200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570796.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101111122200101 its reverse (101002221111101), we get a palindrome (202113343311202).

The spelling of 101111122200101 in words is "one hundred one trillion, one hundred eleven billion, one hundred twenty-two million, two hundred thousand, one hundred one".