102001102112221 has 8 divisors (see below), whose sum is σ = 111919932071640. Its totient is φ = 92378356629312.

The previous prime is 102001102112123. The next prime is 102001102112263. The reversal of 102001102112221 is 122211201100201.

It can be written as a sum of positive squares in 4 ways, for example, as 30122413815321 + 71878688296900 = 5488389^2 + 8478130^2 .

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

It is not a de Polignac number, because 102001102112221 - 2¹⁵ = 102001102079453 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102001102112195 and 102001102112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001102112281) 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, 74021118406 + ... + 74021119783.

It is an arithmetic number, because the mean of its divisors is an integer number (13989991508955).

Almost surely, 2^{102001102112221} is an apocalyptic number.

It is an amenable number.

102001102112221 is a deficient number, since it is larger than the sum of its proper divisors (9918829959419).

102001102112221 is a wasteful number, since it uses less digits than its factorization.

102001102112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148042238255.

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

Adding to 102001102112221 its reverse (122211201100201), we get a palindrome (224212303212422).

The spelling of 102001102112221 in words is "one hundred two trillion, one billion, one hundred two million, one hundred twelve thousand, two hundred twenty-one".