101123222321101 has 8 divisors (see below), whose sum is σ = 103256708973624. Its totient is φ = 99009958291200.

The previous prime is 101123222321083. The next prime is 101123222321129.

It is a happy number.

101123222321101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 26558253040900 + 74564969280201 = 5153470^2 + 8635101^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101123222321101 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 (101123222621101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5055645550 + ... + 5055665551.

It is an arithmetic number, because the mean of its divisors is an integer number (12907088621703).

Almost surely, 2^{101123222321101} is an apocalyptic number.

It is an amenable number.

101123222321101 is a deficient number, since it is larger than the sum of its proper divisors (2133486652523).

101123222321101 is a wasteful number, since it uses less digits than its factorization.

101123222321101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111311311.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 101123222321101 in words is "one hundred one trillion, one hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-one thousand, one hundred one".