101121000001 has 4 divisors (see below), whose sum is σ = 115566857152. Its totient is φ = 86675142852.

The previous prime is 101120999999. The next prime is 101121000053. The reversal of 101121000001 is 100000121101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 100000121101 = 6367 ⋅15706003.

It is a cyclic number.

It is not a de Polignac number, because 101121000001 - 2¹ = 101120999999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 14445857143 = 101121000001 / (1 + 0 + 1 + 1 + 2 + 1 + 0 + 0 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101121009001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7222928565 + ... + 7222928578.

It is an arithmetic number, because the mean of its divisors is an integer number (28891714288).

Almost surely, 2^101121000001 is an apocalyptic number.

It is an amenable number.

101121000001 is a deficient number, since it is larger than the sum of its proper divisors (14445857151).

101121000001 is an equidigital number, since it uses as much as digits as its factorization.

101121000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14445857150.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101121000001 its reverse (100000121101), we get a palindrome (201121121102).

The spelling of 101121000001 in words is "one hundred one billion, one hundred twenty-one million, one", and thus it is an aban number.