101000001001 has 4 divisors (see below), whose sum is σ = 101943926352. Its totient is φ = 100056075652.

The previous prime is 101000000971. The next prime is 101000001031. The reversal of 101000001001 is 100100000101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 100100000101 = 164209 ⋅609589.

It is an interprime number because it is at equal distance from previous prime (101000000971) and next prime (101000001031).

It is a cyclic number.

It is not a de Polignac number, because 101000001001 - 2¹⁵ = 100999968233 is a prime.

It is a super-4 number, since 4×101000001001⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000001031) 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, 471962515 + ... + 471962728.

It is an arithmetic number, because the mean of its divisors is an integer number (25485981588).

Almost surely, 2^101000001001 is an apocalyptic number.

It is an amenable number.

101000001001 is a deficient number, since it is larger than the sum of its proper divisors (943925351).

101000001001 is an equidigital number, since it uses as much as digits as its factorization.

101000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943925350.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101000001001 its reverse (100100000101), we get a palindrome (201100001102).

It can be divided in two parts, 10100000100 and 1, that added together give a palindrome (10100000101).

The spelling of 101000001001 in words is "one hundred one billion, one thousand, one".