101000211111001 has 4 divisors (see below), whose sum is σ = 101393208041652. Its totient is φ = 100607214180352.

The previous prime is 101000211110941. The next prime is 101000211111091. The reversal of 101000211111001 is 100111112000101.

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 91575311111001 + 9424900000000 = 9569499^2 + 3070000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000211111001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000211111091) 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, 196498464940 + ... + 196498465453.

It is an arithmetic number, because the mean of its divisors is an integer number (25348302010413).

Almost surely, 2^{101000211111001} is an apocalyptic number.

It is an amenable number.

101000211111001 is a deficient number, since it is larger than the sum of its proper divisors (392996930651).

101000211111001 is an equidigital number, since it uses as much as digits as its factorization.

101000211111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392996930650.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101000211111001 its reverse (100111112000101), we get a palindrome (201111323111102).

The spelling of 101000211111001 in words is "one hundred one trillion, two hundred eleven million, one hundred eleven thousand, one".