101223222322101 has 96 divisors (see below), whose sum is σ = 151681146462720. Its totient is φ = 59985200880000.

The previous prime is 101223222322051. The next prime is 101223222322127.

101223222322101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101223222322101 - 2¹¹ = 101223222320053 is a prime.

It is a super-2 number, since 2×101223222322101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223222322141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11134438566 + ... + 11134447656.

It is an arithmetic number, because the mean of its divisors is an integer number (1580011942320).

Almost surely, 2^{101223222322101} is an apocalyptic number.

101223222322101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101223222322101 is a deficient number, since it is larger than the sum of its proper divisors (50457924140619).

101223222322101 is a wasteful number, since it uses less digits than its factorization.

101223222322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12959 (or 12948 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

It can be divided in two parts, 10122 and 3222322101, that added together give a palindrome (3222332223).

The spelling of 101223222322101 in words is "one hundred one trillion, two hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-two thousand, one hundred one".