10002201011201 has 12 divisors (see below), whose sum is σ = 11644184361348. Its totient is φ = 8566704986112.

The previous prime is 10002201011191. The next prime is 10002201011233. The reversal of 10002201011201 is 10211010220001.

It can be written as a sum of positive squares in 2 ways, for example, as 9697992505600 + 304208505601 = 3114160^2 + 551551^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10002201011201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002201016201) 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, 78628256 + ... + 78755361.

It is an arithmetic number, because the mean of its divisors is an integer number (970348696779).

Almost surely, 2^{10002201011201} is an apocalyptic number.

It is an amenable number.

10002201011201 is a deficient number, since it is larger than the sum of its proper divisors (1641983350147).

10002201011201 is a wasteful number, since it uses less digits than its factorization.

10002201011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157384928 (or 157384921 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002201011201 its reverse (10211010220001), we get a palindrome (20213211231202).

The spelling of 10002201011201 in words is "ten trillion, two billion, two hundred one million, eleven thousand, two hundred one".