101201201220001 has 16 divisors (see below), whose sum is σ = 106552699914240. Its totient is φ = 95852216874960.

The previous prime is 101201201219999. The next prime is 101201201220071. The reversal of 101201201220001 is 100022102102101.

It is a cyclic number.

It is not a de Polignac number, because 101201201220001 - 2¹ = 101201201219999 is a prime.

It is a super-2 number, since 2×101201201220001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201201220071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3086986056 + ... + 3087018838.

It is an arithmetic number, because the mean of its divisors is an integer number (6659543744640).

Almost surely, 2^{101201201220001} is an apocalyptic number.

It is an amenable number.

101201201220001 is a deficient number, since it is larger than the sum of its proper divisors (5351498694239).

101201201220001 is a wasteful number, since it uses less digits than its factorization.

101201201220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66156.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101201201220001 its reverse (100022102102101), we get a palindrome (201223303322102).

The spelling of 101201201220001 in words is "one hundred one trillion, two hundred one billion, two hundred one million, two hundred twenty thousand, one".