101100011001 has 24 divisors (see below), whose sum is σ = 148199886912. Its totient is φ = 61259800800.

The previous prime is 101100010997. The next prime is 101100011003. The reversal of 101100011001 is 100110001101.

It is not a de Polignac number, because 101100011001 - 2² = 101100010997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100011003) 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, 1859716 + ... + 1913306.

It is an arithmetic number, because the mean of its divisors is an integer number (6174995288).

Almost surely, 2^101100011001 is an apocalyptic number.

101100011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100011001 is a deficient number, since it is larger than the sum of its proper divisors (47099875911).

101100011001 is a wasteful number, since it uses less digits than its factorization.

101100011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58813 (or 58802 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101100011001 its reverse (100110001101), we get a palindrome (201210012102).

It can be divided in two parts, 10110001100 and 1, that added together give a palindrome (10110001101).

The spelling of 101100011001 in words is "one hundred one billion, one hundred million, eleven thousand, one".