101221010001 has 96 divisors (see below), whose sum is σ = 165946060800. Its totient is φ = 59167739520.

The previous prime is 101221009931. The next prime is 101221010021. The reversal of 101221010001 is 100010122101.

It is a happy number.

It is not a de Polignac number, because 101221010001 - 2⁷ = 101221009873 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101221010021) 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 95 ways as a sum of consecutive naturals, for example, 11567710 + ... + 11576456.

It is an arithmetic number, because the mean of its divisors is an integer number (1728604800).

Almost surely, 2^101221010001 is an apocalyptic number.

It is an amenable number.

101221010001 is a deficient number, since it is larger than the sum of its proper divisors (64725050799).

101221010001 is a wasteful number, since it uses less digits than its factorization.

101221010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8899 (or 8896 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101221010001 its reverse (100010122101), we get a palindrome (201231132102).

The spelling of 101221010001 in words is "one hundred one billion, two hundred twenty-one million, ten thousand, one".