101100101009 has 4 divisors (see below), whose sum is σ = 101164456560. Its totient is φ = 101035745460.

The previous prime is 101100100987. The next prime is 101100101021. The reversal of 101100101009 is 900101001101.

It is a happy number.

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.

It is a cyclic number.

It is not a de Polignac number, because 101100101009 - 2¹⁶ = 101100035473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100100984 and 101100101002.

It is not an unprimeable number, because it can be changed into a prime (101100101059) 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, 32175419 + ... + 32178560.

It is an arithmetic number, because the mean of its divisors is an integer number (25291114140).

Almost surely, 2^101100101009 is an apocalyptic number.

It is an amenable number.

101100101009 is a deficient number, since it is larger than the sum of its proper divisors (64355551).

101100101009 is an equidigital number, since it uses as much as digits as its factorization.

101100101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64355550.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101100101009 in words is "one hundred one billion, one hundred million, one hundred one thousand, nine".