102101222120221 has 8 divisors (see below), whose sum is σ = 107353461360600. Its totient is φ = 96964416709440.

The previous prime is 102101222120213. The next prime is 102101222120231. The reversal of 102101222120221 is 122021222101201.

It can be written as a sum of positive squares in 4 ways, for example, as 3356040802500 + 98745181317721 = 1831950^2 + 9937061^2 .

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 102101222120221 - 2³ = 102101222120213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101222120231) 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, 28858455586 + ... + 28858459123.

It is an arithmetic number, because the mean of its divisors is an integer number (13419182670075).

Almost surely, 2^{102101222120221} is an apocalyptic number.

It is an amenable number.

102101222120221 is a deficient number, since it is larger than the sum of its proper divisors (5252239240379).

102101222120221 is an equidigital number, since it uses as much as digits as its factorization.

102101222120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57716914799.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102101222120221 its reverse (122021222101201), we get a palindrome (224122444221422).

The spelling of 102101222120221 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".