101121222000001 has 8 divisors (see below), whose sum is σ = 115676033684544. Its totient is φ = 86593641022320.

The previous prime is 101121221999981. The next prime is 101121222000017. The reversal of 101121222000001 is 100000222121101.

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

It is a cyclic number.

It is not a de Polignac number, because 101121222000001 - 2²⁵ = 101121188445569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101121222000101) 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, 6807668755 + ... + 6807683608.

It is an arithmetic number, because the mean of its divisors is an integer number (14459504210568).

Almost surely, 2^{101121222000001} is an apocalyptic number.

It is an amenable number.

101121222000001 is a deficient number, since it is larger than the sum of its proper divisors (14554811684543).

101121222000001 is a wasteful number, since it uses less digits than its factorization.

101121222000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13615353431.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101121222000001 its reverse (100000222121101), we get a palindrome (201121444121102).

The spelling of 101121222000001 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-two million, one", and thus it is an aban number.