10001001001201 has 24 divisors (see below), whose sum is σ = 12310616525184. Its totient is φ = 8084091375360.

The previous prime is 10001001001139. The next prime is 10001001001217. The reversal of 10001001001201 is 10210010010001.

It is not a de Polignac number, because 10001001001201 - 2¹¹ = 10001000999153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001001001241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62412960 + ... + 62572993.

It is an arithmetic number, because the mean of its divisors is an integer number (512942355216).

Almost surely, 2^{10001001001201} is an apocalyptic number.

It is an amenable number.

10001001001201 is a deficient number, since it is larger than the sum of its proper divisors (2309615523983).

10001001001201 is a wasteful number, since it uses less digits than its factorization.

10001001001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124986061 (or 124986054 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10001001001201 its reverse (10210010010001), we get a palindrome (20211011011202).

The spelling of 10001001001201 in words is "ten trillion, one billion, one million, one thousand, two hundred one".