103122001112202 has 160 divisors (see below), whose sum is σ = 235365872062464. Its totient is φ = 33741144864000.

The previous prime is 103122001112177. The next prime is 103122001112219. The reversal of 103122001112202 is 202211100221301.

103122001112202 is a `hidden beast` number, since 1 + 0 + 312 + 20 + 0 + 111 + 220 + 2 = 666.

It is a super-2 number, since 2×103122001112202² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2977719427 + ... + 2977754057.

Almost surely, 2^{103122001112202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103122001112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117682936031232).

103122001112202 is an abundant number, since it is smaller than the sum of its proper divisors (132243870950262).

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

103122001112202 is a wasteful number, since it uses less digits than its factorization.

103122001112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36306 (or 36297 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 103122001112202 its reverse (202211100221301), we get a palindrome (305333101333503).

The spelling of 103122001112202 in words is "one hundred three trillion, one hundred twenty-two billion, one million, one hundred twelve thousand, two hundred two".