122121100002 has 64 divisors (see below), whose sum is σ = 270892252800. Its totient is φ = 36393792000.

The previous prime is 122121099979. The next prime is 122121100021. The reversal of 122121100002 is 200001121221.

122121100002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931758 + ... + 1054710.

It is an arithmetic number, because the mean of its divisors is an integer number (4232691450).

Almost surely, 2^122121100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122121100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135446126400).

122121100002 is an abundant number, since it is smaller than the sum of its proper divisors (148771152798).

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

122121100002 is a wasteful number, since it uses less digits than its factorization.

122121100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123219.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122121100002 its reverse (200001121221), we get a palindrome (322122221223).

The spelling of 122121100002 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred thousand, two".