102001200022001 has 32 divisors (see below), whose sum is σ = 118646999009280. Its totient is φ = 85886351023104.

The previous prime is 102001200021997. The next prime is 102001200022069. The reversal of 102001200022001 is 100220002100201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102001200022001 - 2² = 102001200021997 is a prime.

It is a super-3 number, since 3×102001200022001³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102001200022901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228416126 + ... + 228862248.

It is an arithmetic number, because the mean of its divisors is an integer number (3707718719040).

Almost surely, 2^{102001200022001} is an apocalyptic number.

It is an amenable number.

102001200022001 is a deficient number, since it is larger than the sum of its proper divisors (16645798987279).

102001200022001 is a wasteful number, since it uses less digits than its factorization.

102001200022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448445.

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

Adding to 102001200022001 its reverse (100220002100201), we get a palindrome (202221202122202).

The spelling of 102001200022001 in words is "one hundred two trillion, one billion, two hundred million, twenty-two thousand, one".