10111201010001 has 192 divisors, whose sum is σ = 19119827091456. Its totient is φ = 5007243225600.

The previous prime is 10111201009969. The next prime is 10111201010011. The reversal of 10111201010001 is 10001010211101.

It is not a de Polignac number, because 10111201010001 - 2⁵ = 10111201009969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10111201010011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101071116 + ... + 101171106.

It is an arithmetic number, because the mean of its divisors is an integer number (99582432768).

Almost surely, 2^{10111201010001} is an apocalyptic number.

It is an amenable number.

10111201010001 is a deficient number, since it is larger than the sum of its proper divisors (9008626081455).

10111201010001 is a wasteful number, since it uses less digits than its factorization.

10111201010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100172 (or 100169 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10111201010001 its reverse (10001010211101), we get a palindrome (20112211221102).

The spelling of 10111201010001 in words is "ten trillion, one hundred eleven billion, two hundred one million, ten thousand, one".