101010221122200 has 384 divisors, whose sum is σ = 340198062388800. Its totient is φ = 24645157355520.

The previous prime is 101010221122199. The next prime is 101010221122231. The reversal of 101010221122200 is 2221122010101.

It is a super-3 number, since 3×101010221122200³ (a number of 43 digits) contains 333 as substring.

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 101010221122200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 500760564 + ... + 500962236.

Almost surely, 2^{101010221122200} is an apocalyptic number.

101010221122200 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 101010221122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170099031194400).

101010221122200 is an abundant number, since it is smaller than the sum of its proper divisors (239187841266600).

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

101010221122200 is a wasteful number, since it uses less digits than its factorization.

101010221122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202271 (or 202262 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101010221122200 its reverse (2221122010101), we get a palindrome (103231343132301).

The spelling of 101010221122200 in words is "one hundred one trillion, ten billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred".