101022202220220 has 72 divisors (see below), whose sum is σ = 306434915396064. Its totient is φ = 26939174629248.

The previous prime is 101022202220213. The next prime is 101022202220243. The reversal of 101022202220220 is 22022202220101.

101022202220220 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 220 + 2 + 220 + 220 = 666.

101022202220220 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 101022202220193 and 101022202220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85468702 + ... + 86642618.

It is an arithmetic number, because the mean of its divisors is an integer number (4256040491612).

Almost surely, 2^{101022202220220} is an apocalyptic number.

101022202220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022202220220 is an abundant number, since it is smaller than the sum of its proper divisors (205412713175844).

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

101022202220220 is a wasteful number, since it uses less digits than its factorization.

101022202220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652019 (or 1652014 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 101022202220220 its reverse (22022202220101), we get a palindrome (123044404440321).

The spelling of 101022202220220 in words is "one hundred one trillion, twenty-two billion, two hundred two million, two hundred twenty thousand, two hundred twenty".