101021110101001 has 8 divisors (see below), whose sum is σ = 102023490570624. Its totient is φ = 100018772209200.

The previous prime is 101021110100957. The next prime is 101021110101017. The reversal of 101021110101001 is 100101011120101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101021110101001 - 2⁷ = 101021110100873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101021110111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5865075 + ... + 15376648.

It is an arithmetic number, because the mean of its divisors is an integer number (12752936321328).

Almost surely, 2^{101021110101001} is an apocalyptic number.

It is an amenable number.

101021110101001 is a deficient number, since it is larger than the sum of its proper divisors (1002380469623).

101021110101001 is a wasteful number, since it uses less digits than its factorization.

101021110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21288911.

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

Adding to 101021110101001 its reverse (100101011120101), we get a palindrome (201122121221102).

The spelling of 101021110101001 in words is "one hundred one trillion, twenty-one billion, one hundred ten million, one hundred one thousand, one".