101222210122200 has 144 divisors (see below), whose sum is σ = 339968650301280. Its totient is φ = 26990149428480.

The previous prime is 101222210122193. The next prime is 101222210122207. The reversal of 101222210122200 is 2221012222101.

It is a happy number.

101222210122200 is a `hidden beast` number, since 1 + 0 + 1 + 222 + 210 + 12 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101222210122193) and next prime (101222210122207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222210122207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17420542 + ... + 22492658.

It is an arithmetic number, because the mean of its divisors is an integer number (2360893404870).

Almost surely, 2^{101222210122200} is an apocalyptic number.

101222210122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222210122200 is an abundant number, since it is smaller than the sum of its proper divisors (238746440179080).

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

101222210122200 is a wasteful number, since it uses less digits than its factorization.

101222210122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083226 (or 5083214 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101222210122200 its reverse (2221012222101), we get a palindrome (103443222344301).

The spelling of 101222210122200 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred ten million, one hundred twenty-two thousand, two hundred".