101222022110220 has 192 divisors, whose sum is σ = 346876763950080. Its totient is φ = 24300432345600.

The previous prime is 101222022110201. The next prime is 101222022110221. The reversal of 101222022110220 is 22011220222101.

It is a happy number.

101222022110220 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 220 + 221 + 1 + 0 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101222022110193 and 101222022110202.

It is not an unprimeable number, because it can be changed into a prime (101222022110221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82110241 + ... + 83333880.

It is an arithmetic number, because the mean of its divisors is an integer number (1806649812240).

Almost surely, 2^{101222022110220} is an apocalyptic number.

101222022110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222022110220 is an abundant number, since it is smaller than the sum of its proper divisors (245654741839860).

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

101222022110220 is a wasteful number, since it uses less digits than its factorization.

101222022110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165444253 (or 165444245 counting only the distinct ones).

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

Adding to 101222022110220 its reverse (22011220222101), we get a palindrome (123233242332321).

The spelling of 101222022110220 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-two million, one hundred ten thousand, two hundred twenty".