102211201111121 has 8 divisors (see below), whose sum is σ = 102635786963688. Its totient is φ = 101786619168000.

The previous prime is 102211201111111. The next prime is 102211201111157. The reversal of 102211201111121 is 121111102112201.

It can be written as a sum of positive squares in 4 ways, for example, as 63489342720400 + 38721858390721 = 7968020^2 + 6222689^2 .

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 102211201111121 - 2⁴⁶ = 31842456933457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102211201111121.

It is not an unprimeable number, because it can be changed into a prime (102211201111111) 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, 59064731 + ... + 60770591.

It is an arithmetic number, because the mean of its divisors is an integer number (12829473370461).

Almost surely, 2^{102211201111121} is an apocalyptic number.

It is an amenable number.

102211201111121 is a deficient number, since it is larger than the sum of its proper divisors (424585852567).

102211201111121 is a wasteful number, since it uses less digits than its factorization.

102211201111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954723.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 102211201111121 its reverse (121111102112201), we get a palindrome (223322303223322).

The spelling of 102211201111121 in words is "one hundred two trillion, two hundred eleven billion, two hundred one million, one hundred eleven thousand, one hundred twenty-one".