102201211211201 has 16 divisors (see below), whose sum is σ = 109102723148160. Its totient is φ = 95452131519360.

The previous prime is 102201211211191. The next prime is 102201211211219. The reversal of 102201211211201 is 102112112102201.

It is a cyclic number.

It is not a de Polignac number, because 102201211211201 - 2³⁴ = 102184031342017 is a prime.

It is a super-3 number, since 3×102201211211201³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102201211211201.

It is not an unprimeable number, because it can be changed into a prime (102201211211291) 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, 17735435 + ... + 22780431.

It is an arithmetic number, because the mean of its divisors is an integer number (6818920196760).

Almost surely, 2^{102201211211201} is an apocalyptic number.

It is an amenable number.

102201211211201 is a deficient number, since it is larger than the sum of its proper divisors (6901511936959).

102201211211201 is a wasteful number, since it uses less digits than its factorization.

102201211211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060104.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102201211211201 its reverse (102112112102201), we get a palindrome (204313323313402).

The spelling of 102201211211201 in words is "one hundred two trillion, two hundred one billion, two hundred eleven million, two hundred eleven thousand, two hundred one".