122120121201102 has 192 divisors, whose sum is σ = 290719753646400. Its totient is φ = 36913779302400.

The previous prime is 122120121200999. The next prime is 122120121201109. The reversal of 122120121201102 is 201102121021221.

122120121201102 is a `hidden beast` number, since 1 + 221 + 20 + 121 + 201 + 102 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120121201109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200350174 + ... + 200958782.

It is an arithmetic number, because the mean of its divisors is an integer number (1514165383575).

Almost surely, 2^{122120121201102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122120121201102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145359876823200).

122120121201102 is an abundant number, since it is smaller than the sum of its proper divisors (168599632445298).

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

122120121201102 is a wasteful number, since it uses less digits than its factorization.

122120121201102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608931 (or 608928 counting only the distinct ones).

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

Adding to 122120121201102 its reverse (201102121021221), we get a palindrome (323222242222323).

The spelling of 122120121201102 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, two hundred one thousand, one hundred two".