101220211100001 has 64 divisors (see below), whose sum is σ = 165768213381120. Its totient is φ = 53654830194240.

The previous prime is 101220211099967. The next prime is 101220211100059. The reversal of 101220211100001 is 100001112022101.

It is not a de Polignac number, because 101220211100001 - 2⁷ = 101220211099873 is a prime.

It is a super-2 number, since 2×101220211100001² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101220211100001.

It is not an unprimeable number, because it can be changed into a prime (101220211100101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6871935 + ... + 15800756.

It is an arithmetic number, because the mean of its divisors is an integer number (2590128334080).

Almost surely, 2^{101220211100001} is an apocalyptic number.

It is an amenable number.

101220211100001 is a deficient number, since it is larger than the sum of its proper divisors (64548002281119).

101220211100001 is a wasteful number, since it uses less digits than its factorization.

101220211100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22672954.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101220211100001 its reverse (100001112022101), we get a palindrome (201221323122102).

The spelling of 101220211100001 in words is "one hundred one trillion, two hundred twenty billion, two hundred eleven million, one hundred thousand, one".