101122022222101 has 4 divisors (see below), whose sum is σ = 101123190903532. Its totient is φ = 101120853540672.

The previous prime is 101122022222087. The next prime is 101122022222129. The reversal of 101122022222101 is 101222220221101.

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 27267351894225 + 73854670327876 = 5221815^2 + 8593874^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122022222101 - 2⁷ = 101122022221973 is a prime.

It is a super-3 number, since 3×101122022222101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122022222141) 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, 584210916 + ... + 584383981.

It is an arithmetic number, because the mean of its divisors is an integer number (25280797725883).

Almost surely, 2^{101122022222101} is an apocalyptic number.

It is an amenable number.

101122022222101 is a deficient number, since it is larger than the sum of its proper divisors (1168681431).

101122022222101 is an equidigital number, since it uses as much as digits as its factorization.

101122022222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168681430.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101122022222101 its reverse (101222220221101), we get a palindrome (202344242443202).

The spelling of 101122022222101 in words is "one hundred one trillion, one hundred twenty-two billion, twenty-two million, two hundred twenty-two thousand, one hundred one".