102211101121 has 8 divisors (see below), whose sum is σ = 108496129320. Its totient is φ = 95956363008.

The previous prime is 102211101101. The next prime is 102211101131. The reversal of 102211101121 is 121101112201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12417982096 + 89793119025 = 111436^2 + 299655^2 .

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 102211101121 - 2¹¹ = 102211099073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102211101101) 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, 7565566 + ... + 7579063.

It is an arithmetic number, because the mean of its divisors is an integer number (13562016165).

Almost surely, 2^102211101121 is an apocalyptic number.

It is an amenable number.

102211101121 is a deficient number, since it is larger than the sum of its proper divisors (6285028199).

102211101121 is a wasteful number, since it uses less digits than its factorization.

102211101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15145043.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102211101121 its reverse (121101112201), we get a palindrome (223312213322).

The spelling of 102211101121 in words is "one hundred two billion, two hundred eleven million, one hundred one thousand, one hundred twenty-one".