1001102001201 has 12 divisors (see below), whose sum is σ = 1447685079412. Its totient is φ = 666640323936.

The previous prime is 1001102001167. The next prime is 1001102001217. The reversal of 1001102001201 is 1021002011001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 649216947600 + 351885053601 = 805740^2 + 593199^2 .

It is not a de Polignac number, because 1001102001201 - 2¹¹ = 1001101999153 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001102001001) 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, 63409186 + ... + 63424971.

Almost surely, 2^{1001102001201} is an apocalyptic number.

It is an amenable number.

1001102001201 is a deficient number, since it is larger than the sum of its proper divisors (446583078211).

1001102001201 is a wasteful number, since it uses less digits than its factorization.

1001102001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126835040 (or 126835037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001102001201 its reverse (1021002011001), we get a palindrome (2022104012202).

The spelling of 1001102001201 in words is "one trillion, one billion, one hundred two million, one thousand, two hundred one".