101222221201220 has 96 divisors (see below), whose sum is σ = 255721942425600. Its totient is φ = 32877854861184.

The previous prime is 101222221201177. The next prime is 101222221201229. The reversal of 101222221201220 is 22102122222101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101222221201192 and 101222221201201.

It is not an unprimeable number, because it can be changed into a prime (101222221201229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 451936421 + ... + 452160339.

It is an arithmetic number, because the mean of its divisors is an integer number (2663770233600).

Almost surely, 2^{101222221201220} is an apocalyptic number.

101222221201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222221201220 is an abundant number, since it is smaller than the sum of its proper divisors (154499721224380).

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

101222221201220 is a wasteful number, since it uses less digits than its factorization.

101222221201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393897 (or 393895 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101222221201220 its reverse (22102122222101), we get a palindrome (123324343423321).

The spelling of 101222221201220 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, two hundred twenty".