122112000211101 has 32 divisors (see below), whose sum is σ = 169467413189760. Its totient is φ = 78118243467264.

The previous prime is 122112000211007. The next prime is 122112000211111. The reversal of 122112000211101 is 101112000211221.

It is a happy number.

It is not a de Polignac number, because 122112000211101 - 2¹¹ = 122112000209053 is a prime.

It is a super-2 number, since 2×122112000211101² (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 (122112000211111) 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, 3740901 + ... + 16069173.

It is an arithmetic number, because the mean of its divisors is an integer number (5295856662180).

Almost surely, 2^{122112000211101} is an apocalyptic number.

It is an amenable number.

122112000211101 is a deficient number, since it is larger than the sum of its proper divisors (47355412978659).

122112000211101 is a wasteful number, since it uses less digits than its factorization.

122112000211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12329005.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122112000211101 its reverse (101112000211221), we get a palindrome (223224000422322).

The spelling of 122112000211101 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred eleven thousand, one hundred one".