10201202001 has 27 divisors (see below), whose sum is σ = 14906410363. Its totient is φ = 6722626560.

The previous prime is 10201201993. The next prime is 10201202027. The reversal of 10201202001 is 10020210201.

The square root of 10201202001 is 101001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10043046225 + 158155776 = 100215^2 + 12576^2 .

It is not a de Polignac number, because 10201202001 - 2³ = 10201201993 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 (10201222001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39693265 + ... + 39693521.

Almost surely, 2^10201202001 is an apocalyptic number.

10201202001 is the 101001-st square number.

10201202001 is the 50501-st centered octagonal number.

It is an amenable number.

10201202001 is a deficient number, since it is larger than the sum of its proper divisors (4705208362).

10201202001 is an frugal number, since it uses more digits than its factorization.

10201202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10201202001 its reverse (10020210201), we get a palindrome (20221412202).

It can be divided in two parts, 1020120 and 2001, that added together give a square (1022121 = 1011²).

The spelling of 10201202001 in words is "ten billion, two hundred one million, two hundred two thousand, one".