102001222000001 has 8 divisors (see below), whose sum is σ = 108001390485384. Its totient is φ = 96001064248320.

The previous prime is 102001221999997. The next prime is 102001222000043. The reversal of 102001222000001 is 100000222100201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46563905250625 + 55437316749376 = 6823775^2 + 7445624^2 .

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 102001222000001 - 2² = 102001221999997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102001222000081) 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, 25100861 + ... + 28880021.

It is an arithmetic number, because the mean of its divisors is an integer number (13500173810673).

Almost surely, 2^{102001222000001} is an apocalyptic number.

It is an amenable number.

102001222000001 is a deficient number, since it is larger than the sum of its proper divisors (6000168485383).

102001222000001 is a wasteful number, since it uses less digits than its factorization.

102001222000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366851.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102001222000001 its reverse (100000222100201), we get a palindrome (202001444100202).

The spelling of 102001222000001 in words is "one hundred two trillion, one billion, two hundred twenty-two million, one", and thus it is an aban number.