102112200001221 has 8 divisors (see below), whose sum is σ = 136158832419744. Its totient is φ = 68070183791760.

The previous prime is 102112200001211. The next prime is 102112200001249. The reversal of 102112200001221 is 122100002211201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102112200001221 - 2¹⁰ = 102112200000197 is a prime.

It is a super-3 number, since 3×102112200001221³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102112200001221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112200001211) 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, 1154000650 + ... + 1154089131.

It is an arithmetic number, because the mean of its divisors is an integer number (17019854052468).

Almost surely, 2^{102112200001221} is an apocalyptic number.

It is an amenable number.

102112200001221 is a deficient number, since it is larger than the sum of its proper divisors (34046632418523).

102112200001221 is a wasteful number, since it uses less digits than its factorization.

102112200001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308104531.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102112200001221 its reverse (122100002211201), we get a palindrome (224212202212422).

The spelling of 102112200001221 in words is "one hundred two trillion, one hundred twelve billion, two hundred million, one thousand, two hundred twenty-one".