102011121122221 has 6 divisors (see below), whose sum is σ = 103769428298222. Its totient is φ = 100282119065880.

The previous prime is 102011121122201. The next prime is 102011121122279. The reversal of 102011121122221 is 122221121110201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 101218469226121 + 792651896100 = 10060739^2 + 890310^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102011121122221 is a prime.

It is a super-2 number, since 2×102011121122221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011121122201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14652556290 + ... + 14652563251.

Almost surely, 2^{102011121122221} is an apocalyptic number.

It is an amenable number.

102011121122221 is a deficient number, since it is larger than the sum of its proper divisors (1758307176001).

102011121122221 is an frugal number, since it uses more digits than its factorization.

102011121122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29305119659 (or 29305119600 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102011121122221 its reverse (122221121110201), we get a palindrome (224232242232422).

The spelling of 102011121122221 in words is "one hundred two trillion, eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".