101422202224101 has 64 divisors (see below), whose sum is σ = 149689614090240. Its totient is φ = 61077635995200.

The previous prime is 101422202224099. The next prime is 101422202224153.

101422202224101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101422202224101 - 2¹ = 101422202224099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101422202222101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459831436 + ... + 460051946.

It is an arithmetic number, because the mean of its divisors is an integer number (2338900220160).

Almost surely, 2^{101422202224101} is an apocalyptic number.

101422202224101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101422202224101 is a deficient number, since it is larger than the sum of its proper divisors (48267411866139).

101422202224101 is a wasteful number, since it uses less digits than its factorization.

101422202224101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221279 (or 221257 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 10142220 and 2224101, that added together give a palindrome (12366321).

The spelling of 101422202224101 in words is "one hundred one trillion, four hundred twenty-two billion, two hundred two million, two hundred twenty-four thousand, one hundred one".