101000211001 has 16 divisors (see below), whose sum is σ = 107595936000. Its totient is φ = 94537836288.

The previous prime is 101000210999. The next prime is 101000211043. The reversal of 101000211001 is 100112000101.

It is a cyclic number.

It is not a de Polignac number, because 101000211001 - 2¹ = 101000210999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000211401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606400 + ... + 754798.

It is an arithmetic number, because the mean of its divisors is an integer number (6724746000).

Almost surely, 2^101000211001 is an apocalyptic number.

It is an amenable number.

101000211001 is a deficient number, since it is larger than the sum of its proper divisors (6595724999).

101000211001 is a wasteful number, since it uses less digits than its factorization.

101000211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148848.

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

Adding to 101000211001 its reverse (100112000101), we get a palindrome (201112211102).

The spelling of 101000211001 in words is "one hundred one billion, two hundred eleven thousand, one".