101122211102201 has 4 divisors (see below), whose sum is σ = 107070576461172. Its totient is φ = 95173845743232.

The previous prime is 101122211102197. The next prime is 101122211102233. The reversal of 101122211102201 is 102201112221101.

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 55100572696576 + 46021638405625 = 7422976^2 + 6783925^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122211102201 - 2² = 101122211102197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 5948365358953 = 101122211102201 / (1 + 0 + 1 + 1 + 2 + 2 + 2 + 1 + 1 + 1 + 0 + 2 + 2 + 0 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101122211102201.

It is not an unprimeable number, because it can be changed into a prime (101122211102701) 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, 2974182679460 + ... + 2974182679493.

It is an arithmetic number, because the mean of its divisors is an integer number (26767644115293).

Almost surely, 2^{101122211102201} is an apocalyptic number.

It is an amenable number.

101122211102201 is a deficient number, since it is larger than the sum of its proper divisors (5948365358971).

101122211102201 is an equidigital number, since it uses as much as digits as its factorization.

101122211102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5948365358970.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101122211102201 its reverse (102201112221101), we get a palindrome (203323323323302).

The spelling of 101122211102201 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred two thousand, two hundred one".