10101002112201 has 96 divisors (see below), whose sum is σ = 18407953686528. Its totient is φ = 4843076434560.

The previous prime is 10101002112181. The next prime is 10101002112233. The reversal of 10101002112201 is 10221120010101.

It is not a de Polignac number, because 10101002112201 - 2⁹ = 10101002111689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101002116201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224628946 + ... + 224673908.

It is an arithmetic number, because the mean of its divisors is an integer number (191749517568).

Almost surely, 2^{10101002112201} is an apocalyptic number.

10101002112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101002112201 is a deficient number, since it is larger than the sum of its proper divisors (8306951574327).

10101002112201 is a wasteful number, since it uses less digits than its factorization.

10101002112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55691 (or 55684 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10101002112201 its reverse (10221120010101), we get a palindrome (20322122122302).

The spelling of 10101002112201 in words is "ten trillion, one hundred one billion, two million, one hundred twelve thousand, two hundred one".