101122220221 has 16 divisors (see below), whose sum is σ = 110562556608. Its totient is φ = 91723363200.

The previous prime is 101122220209. The next prime is 101122220257. The reversal of 101122220221 is 122022221101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101122220221 - 2¹¹ = 101122218173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101122220195 and 101122220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122220281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9781171 + ... + 9791503.

It is an arithmetic number, because the mean of its divisors is an integer number (6910159788).

Almost surely, 2^101122220221 is an apocalyptic number.

101122220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122220221 is a deficient number, since it is larger than the sum of its proper divisors (9440336387).

101122220221 is a wasteful number, since it uses less digits than its factorization.

101122220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12252.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101122220221 its reverse (122022221101), we get a palindrome (223144441322).

The spelling of 101122220221 in words is "one hundred one billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty-one".