102201012001 has 16 divisors (see below), whose sum is σ = 111901632768. Its totient is φ = 92569276800.

The previous prime is 102201011959. The next prime is 102201012019. The reversal of 102201012001 is 100210102201.

It is not a de Polignac number, because 102201012001 - 2⁷ = 102201011873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102201012061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3433141 + ... + 3462781.

It is an arithmetic number, because the mean of its divisors is an integer number (6993852048).

Almost surely, 2^102201012001 is an apocalyptic number.

102201012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201012001 is a deficient number, since it is larger than the sum of its proper divisors (9700620767).

102201012001 is a wasteful number, since it uses less digits than its factorization.

102201012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30792.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102201012001 its reverse (100210102201), we get a palindrome (202411114202).

The spelling of 102201012001 in words is "one hundred two billion, two hundred one million, twelve thousand, one".