101221100001 has 24 divisors (see below), whose sum is σ = 176924277504. Its totient is φ = 54438238080.

The previous prime is 101221099999. The next prime is 101221100027. The reversal of 101221100001 is 100001122101.

It is a happy number.

It is not a de Polignac number, because 101221100001 - 2¹ = 101221099999 is a prime.

It is a super-2 number, since 2×101221100001² (a number of 23 digits) contains 22 as substring.

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 (101221100041) 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, 47254345 + ... + 47256486.

It is an arithmetic number, because the mean of its divisors is an integer number (7371844896).

Almost surely, 2^101221100001 is an apocalyptic number.

It is an amenable number.

101221100001 is a deficient number, since it is larger than the sum of its proper divisors (75703177503).

101221100001 is a wasteful number, since it uses less digits than its factorization.

101221100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94510861 (or 94510858 counting only the distinct ones).

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

Adding to 101221100001 its reverse (100001122101), we get a palindrome (201222222102).

The spelling of 101221100001 in words is "one hundred one billion, two hundred twenty-one million, one hundred thousand, one".