101023220221 has 32 divisors (see below), whose sum is σ = 129113865216. Its totient is φ = 76745328000.

The previous prime is 101023220213. The next prime is 101023220257. The reversal of 101023220221 is 122022320101.

It is a happy number.

It is not a de Polignac number, because 101023220221 - 2³ = 101023220213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101023220195 and 101023220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023224221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4797606 + ... + 4818616.

It is an arithmetic number, because the mean of its divisors is an integer number (4034808288).

Almost surely, 2^101023220221 is an apocalyptic number.

101023220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101023220221 is a deficient number, since it is larger than the sum of its proper divisors (28090644995).

101023220221 is a wasteful number, since it uses less digits than its factorization.

101023220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22593.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101023220221 its reverse (122022320101), we get a palindrome (223045540322).

It can be divided in two parts, 10102 and 3220221, that added together give a palindrome (3230323).

The spelling of 101023220221 in words is "one hundred one billion, twenty-three million, two hundred twenty thousand, two hundred twenty-one".