101322201111300 has 108 divisors (see below), whose sum is σ = 342018718901860. Its totient is φ = 24940849501440.

The previous prime is 101322201111293. The next prime is 101322201111343. The reversal of 101322201111300 is 3111102223101.

101322201111300 is a `hidden beast` number, since 1 + 0 + 1 + 32 + 220 + 1 + 111 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4498844618304 + 96823356492996 = 2121048^2 + 9839886^2 .

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 35 ways as a sum of consecutive naturals, for example, 4329996895 + ... + 4330020294.

Almost surely, 2^{101322201111300} is an apocalyptic number.

101322201111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322201111300 is an abundant number, since it is smaller than the sum of its proper divisors (240696517790560).

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

101322201111300 is a wasteful number, since it uses less digits than its factorization.

101322201111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8660017222 (or 8660017212 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101322201111300 its reverse (3111102223101), we get a palindrome (104433303334401).

The spelling of 101322201111300 in words is "one hundred one trillion, three hundred twenty-two billion, two hundred one million, one hundred eleven thousand, three hundred".