231122332102002 has 128 divisors (see below), whose sum is σ = 511516177286400. Its totient is φ = 69036739968000.

The previous prime is 231122332101979. The next prime is 231122332102007. The reversal of 231122332102002 is 200201233221132.

It is not an unprimeable number, because it can be changed into a prime (231122332102007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2562371968 + ... + 2562462164.

It is an arithmetic number, because the mean of its divisors is an integer number (3996220135050).

Almost surely, 2^{231122332102002} is an apocalyptic number.

231122332102002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 231122332102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255758088643200).

231122332102002 is an abundant number, since it is smaller than the sum of its proper divisors (280393845184398).

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

231122332102002 is a wasteful number, since it uses less digits than its factorization.

231122332102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92012.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 231122332102002 its reverse (200201233221132), we get a palindrome (431323565323134).

The spelling of 231122332102002 in words is "two hundred thirty-one trillion, one hundred twenty-two billion, three hundred thirty-two million, one hundred two thousand, two".