101322202221 has 48 divisors (see below), whose sum is σ = 148932596592. Its totient is φ = 66370560000.

The previous prime is 101322202207. The next prime is 101322202259. The reversal of 101322202221 is 122202223101.

101322202221 is a `hidden beast` number, since 101 + 322 + 20 + 2 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21908144196 + 79414058025 = 148014^2 + 281805^2 .

It is not a de Polignac number, because 101322202221 - 2²³ = 101313813613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101322202194 and 101322202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322202271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84930001 + ... + 84931193.

It is an arithmetic number, because the mean of its divisors is an integer number (3102762429).

Almost surely, 2^101322202221 is an apocalyptic number.

It is an amenable number.

101322202221 is a deficient number, since it is larger than the sum of its proper divisors (47610394371).

101322202221 is a wasteful number, since it uses less digits than its factorization.

101322202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101322202221 its reverse (122202223101), we get a palindrome (223524425322).

The spelling of 101322202221 in words is "one hundred one billion, three hundred twenty-two million, two hundred two thousand, two hundred twenty-one".