102222022212001 has 8 divisors (see below), whose sum is σ = 104317775735400. Its totient is φ = 100145064684672.

The previous prime is 102222022211983. The next prime is 102222022212133. The reversal of 102222022212001 is 100212220222201.

It can be written as a sum of positive squares in 4 ways, for example, as 1998197107776 + 100223825104225 = 1413576^2 + 10011185^2 .

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 102222022212001 - 2²¹ = 102222020114849 is a prime.

It is a super-2 number, since 2×102222022212001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102222022212001.

It is not an unprimeable number, because it can be changed into a prime (102222022212301) 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, 4698988030 + ... + 4699009783.

It is an arithmetic number, because the mean of its divisors is an integer number (13039721966925).

Almost surely, 2^{102222022212001} is an apocalyptic number.

It is an amenable number.

102222022212001 is a deficient number, since it is larger than the sum of its proper divisors (2095753523399).

102222022212001 is an equidigital number, since it uses as much as digits as its factorization.

102222022212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9397998035.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 102222022212001 its reverse (100212220222201), we get a palindrome (202434242434202).

The spelling of 102222022212001 in words is "one hundred two trillion, two hundred twenty-two billion, twenty-two million, two hundred twelve thousand, one".