102201121102201 has 12 divisors (see below), whose sum is σ = 112350956256000. Its totient is φ = 92898376666040.

The previous prime is 102201121102109. The next prime is 102201121102211.

102201121102201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102201121102201 - 2³⁵ = 102166761363833 is a prime.

It is a super-3 number, since 3×102201121102201³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102201121102211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52371601 + ... + 54287998.

It is an arithmetic number, because the mean of its divisors is an integer number (9362579688000).

Almost surely, 2^{102201121102201} is an apocalyptic number.

102201121102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201121102201 is a deficient number, since it is larger than the sum of its proper divisors (10149835153799).

102201121102201 is a wasteful number, since it uses less digits than its factorization.

102201121102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106667540 (or 106667529 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 102201121102201 in words is "one hundred two trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, two hundred one".