101122221202220 has 96 divisors (see below), whose sum is σ = 225367548618240. Its totient is φ = 38030722273280.

The previous prime is 101122221202169. The next prime is 101122221202253. The reversal of 101122221202220 is 22202122221101.

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 = 101122221202192 and 101122221202201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282973055 + ... + 283330185.

It is an arithmetic number, because the mean of its divisors is an integer number (2347578631440).

Almost surely, 2^{101122221202220} is an apocalyptic number.

101122221202220 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 101122221202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112683774309120).

101122221202220 is an abundant number, since it is smaller than the sum of its proper divisors (124245327416020).

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

101122221202220 is a wasteful number, since it uses less digits than its factorization.

101122221202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367655 (or 367653 counting only the distinct ones).

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

Adding to 101122221202220 its reverse (22202122221101), we get a palindrome (123324343423321).

The spelling of 101122221202220 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty".