10122100111201 has 8 divisors (see below), whose sum is σ = 11276610203880. Its totient is φ = 9021288162432.

The previous prime is 10122100111199. The next prime is 10122100111213. The reversal of 10122100111201 is 10211100122101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 583879374400 + 9538220736801 = 764120^2 + 3088401^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10122100111201 - 2¹ = 10122100111199 is a prime.

It is a super-2 number, since 2×10122100111201² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10122100114201) 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 7 ways as a sum of consecutive naturals, for example, 13424535580 + ... + 13424536333.

It is an arithmetic number, because the mean of its divisors is an integer number (1409576275485).

Almost surely, 2^{10122100111201} is an apocalyptic number.

It is an amenable number.

10122100111201 is a deficient number, since it is larger than the sum of its proper divisors (1154510092679).

10122100111201 is a wasteful number, since it uses less digits than its factorization.

10122100111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26849071955.

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

Adding to 10122100111201 its reverse (10211100122101), we get a palindrome (20333200233302).

The spelling of 10122100111201 in words is "ten trillion, one hundred twenty-two billion, one hundred million, one hundred eleven thousand, two hundred one".