22121102102101 has 8 divisors (see below), whose sum is σ = 22666435420608. Its totient is φ = 21576044700000.

The previous prime is 22121102102083. The next prime is 22121102102117. The reversal of 22121102102101 is 10120120112122.

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

It is a cyclic number.

It is not a de Polignac number, because 22121102102101 - 2⁹ = 22121102101589 is a prime.

It is a super-2 number, since 2×22121102102101² (a number of 27 digits) contains 22 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 (22121102102201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68816775 + ... + 69137476.

It is an arithmetic number, because the mean of its divisors is an integer number (2833304427576).

Almost surely, 2^{22121102102101} is an apocalyptic number.

It is an amenable number.

22121102102101 is a deficient number, since it is larger than the sum of its proper divisors (545333318507).

22121102102101 is a wasteful number, since it uses less digits than its factorization.

22121102102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137958203.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22121102102101 its reverse (10120120112122), we get a palindrome (32241222214223).

The spelling of 22121102102101 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred two million, one hundred two thousand, one hundred one".