10000102222001 has 16 divisors (see below), whose sum is σ = 10784736441600. Its totient is φ = 9242587306368.

The previous prime is 10000102221919. The next prime is 10000102222021. The reversal of 10000102222001 is 10022220100001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10000102222001 - 2²² = 10000098027697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000102222021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17609186 + ... + 18168203.

It is an arithmetic number, because the mean of its divisors is an integer number (674046027600).

Almost surely, 2^{10000102222001} is an apocalyptic number.

It is an amenable number.

10000102222001 is a deficient number, since it is larger than the sum of its proper divisors (784634219599).

10000102222001 is a wasteful number, since it uses less digits than its factorization.

10000102222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35777768.

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

Adding to 10000102222001 its reverse (10022220100001), we get a palindrome (20022322322002).

The spelling of 10000102222001 in words is "ten trillion, one hundred two million, two hundred twenty-two thousand, one".