122111101002 has 128 divisors (see below), whose sum is σ = 277539747840. Its totient is φ = 35500640000.

The previous prime is 122111100989. The next prime is 122111101037. The reversal of 122111101002 is 200101111221.

122111101002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122111101002² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27921688 + ... + 27926060.

It is an arithmetic number, because the mean of its divisors is an integer number (2168279280).

Almost surely, 2^122111101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122111101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138769873920).

122111101002 is an abundant number, since it is smaller than the sum of its proper divisors (155428646838).

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

122111101002 is a wasteful number, since it uses less digits than its factorization.

122111101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122111101002 its reverse (200101111221), we get a palindrome (322212212223).

The spelling of 122111101002 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred one thousand, two".