122121101221002 has 128 divisors (see below), whose sum is σ = 292730639040000. Its totient is φ = 37514698629120.

The previous prime is 122121101220997. The next prime is 122121101221037. The reversal of 122121101221002 is 200122101121221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121052874 + ... + 1121161802.

It is an arithmetic number, because the mean of its divisors is an integer number (2286958117500).

Almost surely, 2^{122121101221002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122121101221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146365319520000).

122121101221002 is an abundant number, since it is smaller than the sum of its proper divisors (170609537818998).

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

122121101221002 is a wasteful number, since it uses less digits than its factorization.

122121101221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111533 (or 111527 counting only the distinct ones).

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

Adding to 122121101221002 its reverse (200122101121221), we get a palindrome (322243202342223).

The spelling of 122121101221002 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred one million, two hundred twenty-one thousand, two".