101011101212001 has 8 divisors (see below), whose sum is σ = 134752093077024. Its totient is φ = 67305421744160.

The previous prime is 101011101211997. The next prime is 101011101212023. The reversal of 101011101212001 is 100212101110101.

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 101011101212001 - 2² = 101011101211997 is a prime.

It is a super-2 number, since 2×101011101212001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101011101212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8828092620 + ... + 8828104061.

It is an arithmetic number, because the mean of its divisors is an integer number (16844011634628).

Almost surely, 2^{101011101212001} is an apocalyptic number.

It is an amenable number.

101011101212001 is a deficient number, since it is larger than the sum of its proper divisors (33740991865023).

101011101212001 is a wasteful number, since it uses less digits than its factorization.

101011101212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17656198591.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101011101212001 its reverse (100212101110101), we get a palindrome (201223202322102).

The spelling of 101011101212001 in words is "one hundred one trillion, eleven billion, one hundred one million, two hundred twelve thousand, one".