101101021100001 has 20 divisors (see below), whose sum is σ = 162644947526292. Its totient is φ = 62216012983968.

The previous prime is 101101021099951. The next prime is 101101021100017. The reversal of 101101021100001 is 100001120101101.

It can be written as a sum of positive squares in 2 ways, for example, as 60762009410001 + 40339011690000 = 7794999^2 + 6351300^2 .

It is not a de Polignac number, because 101101021100001 - 2⁷ = 101101021099873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101101021100081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48006181806 + ... + 48006183911.

Almost surely, 2^{101101021100001} is an apocalyptic number.

It is an amenable number.

101101021100001 is a deficient number, since it is larger than the sum of its proper divisors (61543926426291).

101101021100001 is an equidigital number, since it uses as much as digits as its factorization.

101101021100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96012365742 (or 96012365733 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101101021100001 its reverse (100001120101101), we get a palindrome (201102141201102).

The spelling of 101101021100001 in words is "one hundred one trillion, one hundred one billion, twenty-one million, one hundred thousand, one".