101100102200101 has 16 divisors (see below), whose sum is σ = 102958054617600. Its totient is φ = 99246976671600.

The previous prime is 101100102200099. The next prime is 101100102200107. The reversal of 101100102200101 is 101002201001101.

It is a cyclic number.

It is not a de Polignac number, because 101100102200101 - 2¹ = 101100102200099 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 (101100102200107) 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, 1076505336 + ... + 1076599246.

It is an arithmetic number, because the mean of its divisors is an integer number (6434878413600).

Almost surely, 2^{101100102200101} is an apocalyptic number.

It is an amenable number.

101100102200101 is a deficient number, since it is larger than the sum of its proper divisors (1857952417499).

101100102200101 is an equidigital number, since it uses as much as digits as its factorization.

101100102200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119400.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101100102200101 its reverse (101002201001101), we get a palindrome (202102303201202).

The spelling of 101100102200101 in words is "one hundred one trillion, one hundred billion, one hundred two million, two hundred thousand, one hundred one".