22001331112101 has 16 divisors (see below), whose sum is σ = 35557706848320. Its totient is φ = 13334140067760.

The previous prime is 22001331112093. The next prime is 22001331112109. The reversal of 22001331112101 is 10121113310022.

22001331112101 is a `hidden beast` number, since 220 + 0 + 1 + 331 + 1 + 12 + 101 = 666.

It is an interprime number because it is at equal distance from previous prime (22001331112093) and next prime (22001331112109).

It is not a de Polignac number, because 22001331112101 - 2³ = 22001331112093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001331112109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37039277670 + ... + 37039278263.

It is an arithmetic number, because the mean of its divisors is an integer number (2222356678020).

Almost surely, 2^{22001331112101} is an apocalyptic number.

It is an amenable number.

22001331112101 is a deficient number, since it is larger than the sum of its proper divisors (13556375736219).

22001331112101 is a wasteful number, since it uses less digits than its factorization.

22001331112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74078555953 (or 74078555947 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 22001331112101 its reverse (10121113310022), we get a palindrome (32122444422123).

The spelling of 22001331112101 in words is "twenty-two trillion, one billion, three hundred thirty-one million, one hundred twelve thousand, one hundred one".