22101102100101 has 64 divisors (see below), whose sum is σ = 31815809752320. Its totient is φ = 13618384066560.

The previous prime is 22101102100093. The next prime is 22101102100111. The reversal of 22101102100101 is 10100120110122.

It is not a de Polignac number, because 22101102100101 - 2³ = 22101102100093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101102100111) 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, 186515665 + ... + 186634121.

It is an arithmetic number, because the mean of its divisors is an integer number (497122027380).

Almost surely, 2^{22101102100101} is an apocalyptic number.

It is an amenable number.

22101102100101 is a deficient number, since it is larger than the sum of its proper divisors (9714707652219).

22101102100101 is a wasteful number, since it uses less digits than its factorization.

22101102100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119526.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22101102100101 its reverse (10100120110122), we get a palindrome (32201222210223).

The spelling of 22101102100101 in words is "twenty-two trillion, one hundred one billion, one hundred two million, one hundred thousand, one hundred one".