1201002010001 has 16 divisors (see below), whose sum is σ = 1227747992016. Its totient is φ = 1174487040000.

The previous prime is 1201002009983. The next prime is 1201002010069. The reversal of 1201002010001 is 1000102001021.

It can be written as a sum of positive squares in 8 ways, for example, as 599137921600 + 601864088401 = 774040^2 + 775799^2 .

It is a cyclic number.

It is not a de Polignac number, because 1201002010001 - 2³⁸ = 926124103057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1201002030001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52113041 + ... + 52136081.

It is an arithmetic number, because the mean of its divisors is an integer number (76734249501).

Almost surely, 2^{1201002010001} is an apocalyptic number.

It is an amenable number.

1201002010001 is a deficient number, since it is larger than the sum of its proper divisors (26745982015).

1201002010001 is a wasteful number, since it uses less digits than its factorization.

1201002010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28004.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1201002010001 its reverse (1000102001021), we get a palindrome (2201104011022).

The spelling of 1201002010001 in words is "one trillion, two hundred one billion, two million, ten thousand, one".