102011102120221 has 8 divisors (see below), whose sum is σ = 116585198245184. Its totient is φ = 87437276379360.

The previous prime is 102011102120197. The next prime is 102011102120243. The reversal of 102011102120221 is 122021201110201.

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 102011102120221 - 2²⁵ = 102011068565789 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102011102120195 and 102011102120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011102120281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66786915 + ... + 68297248.

It is an arithmetic number, because the mean of its divisors is an integer number (14573149780648).

Almost surely, 2^{102011102120221} is an apocalyptic number.

It is an amenable number.

102011102120221 is a deficient number, since it is larger than the sum of its proper divisors (14574096124963).

102011102120221 is a wasteful number, since it uses less digits than its factorization.

102011102120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135192051.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102011102120221 its reverse (122021201110201), we get a palindrome (224032303230422).

The spelling of 102011102120221 in words is "one hundred two trillion, eleven billion, one hundred two million, one hundred twenty thousand, two hundred twenty-one".