122312221201101 has 32 divisors (see below), whose sum is σ = 165497761668096. Its totient is φ = 80344968704000.

The previous prime is 122312221201061. The next prime is 122312221201133. The reversal of 122312221201101 is 101102122213221.

It is a cyclic number.

It is not a de Polignac number, because 122312221201101 - 2²² = 122312217006797 is a prime.

It is a super-2 number, since 2×122312221201101² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312221201171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29464366 + ... + 33358256.

It is an arithmetic number, because the mean of its divisors is an integer number (5171805052128).

Almost surely, 2^{122312221201101} is an apocalyptic number.

It is an amenable number.

122312221201101 is a deficient number, since it is larger than the sum of its proper divisors (43185540466995).

122312221201101 is a wasteful number, since it uses less digits than its factorization.

122312221201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894593.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 122312221201101 its reverse (101102122213221), we get a palindrome (223414343414322).

The spelling of 122312221201101 in words is "one hundred twenty-two trillion, three hundred twelve billion, two hundred twenty-one million, two hundred one thousand, one hundred one".