101200101001 has 4 divisors (see below), whose sum is σ = 101203594900. Its totient is φ = 101196607104.

The previous prime is 101200100987. The next prime is 101200101007. The reversal of 101200101001 is 100101002101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 29825635401 + 71374465600 = 172701^2 + 267160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101200101001 is a prime.

It is a super-2 number, since 2×101200101001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101200101007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1703136 + ... + 1761553.

It is an arithmetic number, because the mean of its divisors is an integer number (25300898725).

Almost surely, 2^101200101001 is an apocalyptic number.

It is an amenable number.

101200101001 is a deficient number, since it is larger than the sum of its proper divisors (3493899).

101200101001 is an equidigital number, since it uses as much as digits as its factorization.

101200101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493898.

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

Adding to 101200101001 its reverse (100101002101), we get a palindrome (201301103102).

The spelling of 101200101001 in words is "one hundred one billion, two hundred million, one hundred one thousand, one".