101221202022200 has 144 divisors (see below), whose sum is σ = 254902613704200. Its totient is φ = 37364045222400.

The previous prime is 101221202022181. The next prime is 101221202022217. The reversal of 101221202022200 is 2220202122101.

It is a happy number.

It is a congruent number.

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, 127333970 + ... + 128126430.

Almost surely, 2^{101221202022200} is an apocalyptic number.

101221202022200 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 101221202022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127451306852100).

101221202022200 is an abundant number, since it is smaller than the sum of its proper divisors (153681411682000).

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

101221202022200 is a wasteful number, since it uses less digits than its factorization.

101221202022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796282 (or 796260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 101221202022200 its reverse (2220202122101), we get a palindrome (103441404144301).

Subtracting from 101221202022200 its reverse (2220202122101), we obtain a palindrome (99000999900099).

The spelling of 101221202022200 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred two million, twenty-two thousand, two hundred".