122302001300100 has 144 divisors (see below), whose sum is σ = 354861328879680. Its totient is φ = 32521689446400.

The previous prime is 122302001300077. The next prime is 122302001300161. The reversal of 122302001300100 is 1003100203221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122302001300100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286508424 + ... + 286934976.

Almost surely, 2^{122302001300100} is an apocalyptic number.

122302001300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122302001300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177430664439840).

122302001300100 is an abundant number, since it is smaller than the sum of its proper divisors (232559327579580).

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

122302001300100 is a wasteful number, since it uses less digits than its factorization.

122302001300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429270 (or 429263 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122302001300100 its reverse (1003100203221), we get a palindrome (123305101503321).

The spelling of 122302001300100 in words is "one hundred twenty-two trillion, three hundred two billion, one million, three hundred thousand, one hundred".