82102222100001 has 4 divisors (see below), whose sum is σ = 109469629466672. Its totient is φ = 54734814733332.

The previous prime is 82102222099951. The next prime is 82102222100021. The reversal of 82102222100001 is 10000122220128.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 82102222100001 - 2¹¹ = 82102222097953 is a prime.

It is a super-2 number, since 2×82102222100001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82102222100021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13683703683331 + ... + 13683703683336.

It is an arithmetic number, because the mean of its divisors is an integer number (27367407366668).

Almost surely, 2^{82102222100001} is an apocalyptic number.

It is an amenable number.

82102222100001 is a deficient number, since it is larger than the sum of its proper divisors (27367407366671).

82102222100001 is a wasteful number, since it uses less digits than its factorization.

82102222100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27367407366670.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 82102222100001 its reverse (10000122220128), we get a palindrome (92102344320129).

The spelling of 82102222100001 in words is "eighty-two trillion, one hundred two billion, two hundred twenty-two million, one hundred thousand, one".