10202201112101 has 4 divisors (see below), whose sum is σ = 10202237273100. Its totient is φ = 10202164951104.

The previous prime is 10202201112071. The next prime is 10202201112137. The reversal of 10202201112101 is 10121110220201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8025469721476 + 2176731390625 = 2832926^2 + 1475375^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202201112101 - 2¹⁸ = 10202200849957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202201172101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17653946 + ... + 18222683.

It is an arithmetic number, because the mean of its divisors is an integer number (2550559318275).

Almost surely, 2^{10202201112101} is an apocalyptic number.

It is an amenable number.

10202201112101 is a deficient number, since it is larger than the sum of its proper divisors (36160999).

10202201112101 is an equidigital number, since it uses as much as digits as its factorization.

10202201112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36160998.

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

Adding to 10202201112101 its reverse (10121110220201), we get a palindrome (20323311332302).

The spelling of 10202201112101 in words is "ten trillion, two hundred two billion, two hundred one million, one hundred twelve thousand, one hundred one".