101123313002201 has 16 divisors (see below), whose sum is σ = 118693652461824. Its totient is φ = 84334037246784.

The previous prime is 101123313002189. The next prime is 101123313002213. The reversal of 101123313002201 is 102200313321101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101123313002189) and next prime (101123313002213).

It is a cyclic number.

It is not a de Polignac number, because 101123313002201 - 2⁶ = 101123313002137 is a prime.

It is a super-2 number, since 2×101123313002201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101123313002401) 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, 51062171 + ... + 53005583.

It is an arithmetic number, because the mean of its divisors is an integer number (7418353278864).

Almost surely, 2^{101123313002201} is an apocalyptic number.

It is an amenable number.

101123313002201 is a deficient number, since it is larger than the sum of its proper divisors (17570339459623).

101123313002201 is a wasteful number, since it uses less digits than its factorization.

101123313002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144360.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101123313002201 its reverse (102200313321101), we get a palindrome (203323626323302).

The spelling of 101123313002201 in words is "one hundred one trillion, one hundred twenty-three billion, three hundred thirteen million, two thousand, two hundred one".