101200011121201 has 16 divisors (see below), whose sum is σ = 103488363820800. Its totient is φ = 98917339488768.

The previous prime is 101200011121189. The next prime is 101200011121267. The reversal of 101200011121201 is 102121110002101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101200011121201 - 2¹⁵ = 101200011088433 is a prime.

It is a super-2 number, since 2×101200011121201² (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 (101200018121201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190236055 + ... + 190767283.

It is an arithmetic number, because the mean of its divisors is an integer number (6468022738800).

Almost surely, 2^{101200011121201} is an apocalyptic number.

It is an amenable number.

101200011121201 is a deficient number, since it is larger than the sum of its proper divisors (2288352699599).

101200011121201 is an equidigital number, since it uses as much as digits as its factorization.

101200011121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536568.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101200011121201 its reverse (102121110002101), we get a palindrome (203321121123302).

The spelling of 101200011121201 in words is "one hundred one trillion, two hundred billion, eleven million, one hundred twenty-one thousand, two hundred one".