101100112100221 has 4 divisors (see below), whose sum is σ = 108877043800252. Its totient is φ = 93323180400192.

The previous prime is 101100112100219. The next prime is 101100112100269. The reversal of 101100112100221 is 122001211001101.

It is a happy number.

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 18941949495225 + 82158162604996 = 4352235^2 + 9064114^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100112100221 - 2¹ = 101100112100219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 7776931700017 = 101100112100221 / (1 + 0 + 1 + 1 + 0 + 0 + 1 + 1 + 2 + 1 + 0 + 0 + 2 + 2 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100112800221) 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, 3888465849996 + ... + 3888465850021.

It is an arithmetic number, because the mean of its divisors is an integer number (27219260950063).

Almost surely, 2^{101100112100221} is an apocalyptic number.

It is an amenable number.

101100112100221 is a deficient number, since it is larger than the sum of its proper divisors (7776931700031).

101100112100221 is an equidigital number, since it uses as much as digits as its factorization.

101100112100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776931700030.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101100112100221 its reverse (122001211001101), we get a palindrome (223101323101322).

The spelling of 101100112100221 in words is "one hundred one trillion, one hundred billion, one hundred twelve million, one hundred thousand, two hundred twenty-one".