10001202101001 has 24 divisors (see below), whose sum is σ = 14799033240264. Its totient is φ = 6504624234240.

The previous prime is 10001202100987. The next prime is 10001202101041. The reversal of 10001202101001 is 10010120210001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 908353861776 + 9092848239225 = 953076^2 + 3015435^2 .

It is not a de Polignac number, because 10001202101001 - 2⁵ = 10001202100969 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 (10001202101041) 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, 10693915 + ... + 11591471.

It is an arithmetic number, because the mean of its divisors is an integer number (616626385011).

Almost surely, 2^{10001202101001} is an apocalyptic number.

It is an amenable number.

10001202101001 is a deficient number, since it is larger than the sum of its proper divisors (4797831139263).

10001202101001 is a wasteful number, since it uses less digits than its factorization.

10001202101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927801 (or 927798 counting only the distinct ones).

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

Adding to 10001202101001 its reverse (10010120210001), we get a palindrome (20011322311002).

It can be divided in two parts, 1000120 and 2101001, that added together give a square (3101121 = 1761²).

The spelling of 10001202101001 in words is "ten trillion, one billion, two hundred two million, one hundred one thousand, one".