102011112101221 has 8 divisors (see below), whose sum is σ = 110309888430720. Its totient is φ = 93967682735808.

The previous prime is 102011112101161. The next prime is 102011112101267. The reversal of 102011112101221 is 122101211110201.

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 102011112101221 - 2⁴¹ = 99812088845669 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102011112101195 and 102011112101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011112101291) 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, 63836740191 + ... + 63836741788.

It is an arithmetic number, because the mean of its divisors is an integer number (13788736053840).

Almost surely, 2^{102011112101221} is an apocalyptic number.

It is an amenable number.

102011112101221 is a deficient number, since it is larger than the sum of its proper divisors (8298776329499).

102011112101221 is a wasteful number, since it uses less digits than its factorization.

102011112101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127673482043.

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

Adding to 102011112101221 its reverse (122101211110201), we get a palindrome (224112323211422).

The spelling of 102011112101221 in words is "one hundred two trillion, eleven billion, one hundred twelve million, one hundred one thousand, two hundred twenty-one".