101121100001 has 4 divisors (see below), whose sum is σ = 101121813252. Its totient is φ = 101120386752.

The previous prime is 101121099971. The next prime is 101121100019. The reversal of 101121100001 is 100001121101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 46854931600 + 54266168401 = 216460^2 + 232951^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121100001 - 2¹⁰ = 101121098977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101121150001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63836 + ... + 454221.

It is an arithmetic number, because the mean of its divisors is an integer number (25280453313).

Almost surely, 2^101121100001 is an apocalyptic number.

It is an amenable number.

101121100001 is a deficient number, since it is larger than the sum of its proper divisors (713251).

101121100001 is an equidigital number, since it uses as much as digits as its factorization.

101121100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713250.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101121100001 its reverse (100001121101), we get a palindrome (201122221102).

The spelling of 101121100001 in words is "one hundred one billion, one hundred twenty-one million, one hundred thousand, one".