102201120211001 has 32 divisors (see below), whose sum is σ = 119414198108160. Its totient is φ = 85645291838400.

The previous prime is 102201120210991. The next prime is 102201120211007. The reversal of 102201120211001 is 100112021102201.

It is not a de Polignac number, because 102201120211001 - 2¹⁸ = 102201119948857 is a prime.

It is a super-2 number, since 2×102201120211001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102201120211007) 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, 2521534106 + ... + 2521574636.

It is an arithmetic number, because the mean of its divisors is an integer number (3731693690880).

Almost surely, 2^{102201120211001} is an apocalyptic number.

It is an amenable number.

102201120211001 is a deficient number, since it is larger than the sum of its proper divisors (17213077897159).

102201120211001 is a wasteful number, since it uses less digits than its factorization.

102201120211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48605.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102201120211001 its reverse (100112021102201), we get a palindrome (202313141313202).

The spelling of 102201120211001 in words is "one hundred two trillion, two hundred one billion, one hundred twenty million, two hundred eleven thousand, one".