122101201120122 has 96 divisors (see below), whose sum is σ = 310606945114752. Its totient is φ = 33933396189312.

The previous prime is 122101201120081. The next prime is 122101201120123. The reversal of 122101201120122 is 221021102101221.

122101201120122 is a `hidden beast` number, since 1 + 221 + 0 + 1 + 201 + 120 + 122 = 666.

122101201120122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122101201120095 and 122101201120104.

It is not an unprimeable number, because it can be changed into a prime (122101201120123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12386008 + ... + 19940300.

It is an arithmetic number, because the mean of its divisors is an integer number (3235489011612).

Almost surely, 2^{122101201120122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122101201120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155303472557376).

122101201120122 is an abundant number, since it is smaller than the sum of its proper divisors (188505743994630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122101201120122 is a wasteful number, since it uses less digits than its factorization.

122101201120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7557812 (or 7557809 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122101201120122 its reverse (221021102101221), we get a palindrome (343122303221343).

The spelling of 122101201120122 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred one million, one hundred twenty thousand, one hundred twenty-two".