22202122122101 has 8 divisors (see below), whose sum is σ = 23544129515544. Its totient is φ = 20864114752000.

The previous prime is 22202122122077. The next prime is 22202122122119. The reversal of 22202122122101 is 10122122120222.

It can be written as a sum of positive squares in 4 ways, for example, as 77422506001 + 22124699616100 = 278249^2 + 4703690^2 .

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-22202122122101 is a prime.

It is a super-2 number, since 2×22202122122101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202122122001) 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, 999994400 + ... + 1000016601.

It is an arithmetic number, because the mean of its divisors is an integer number (2943016189443).

Almost surely, 2^{22202122122101} is an apocalyptic number.

It is an amenable number.

22202122122101 is a deficient number, since it is larger than the sum of its proper divisors (1342007393443).

22202122122101 is a wasteful number, since it uses less digits than its factorization.

22202122122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000011671.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22202122122101 its reverse (10122122120222), we get a palindrome (32324244242323).

The spelling of 22202122122101 in words is "twenty-two trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".