102011022221 has 8 divisors (see below), whose sum is σ = 103028010264. Its totient is φ = 100994171200.

The previous prime is 102011022209. The next prime is 102011022259. The reversal of 102011022221 is 122220110201.

It can be written as a sum of positive squares in 4 ways, for example, as 13719436900 + 88291585321 = 117130^2 + 297139^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102011022221 - 2¹⁸ = 102010760077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102011022196 and 102011022205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011022271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2153831 + ... + 2200683.

It is an arithmetic number, because the mean of its divisors is an integer number (12878501283).

Almost surely, 2^102011022221 is an apocalyptic number.

It is an amenable number.

102011022221 is a deficient number, since it is larger than the sum of its proper divisors (1016988043).

102011022221 is a wasteful number, since it uses less digits than its factorization.

102011022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68511.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102011022221 its reverse (122220110201), we get a palindrome (224231132422).

The spelling of 102011022221 in words is "one hundred two billion, eleven million, twenty-two thousand, two hundred twenty-one".