101011222012001 has 6 divisors (see below), whose sum is σ = 117502850095650. Its totient is φ = 86581047438816.

The previous prime is 101011222011983. The next prime is 101011222012013. The reversal of 101011222012001 is 100210222110101.

It can be written as a sum of positive squares in only one way, i.e., 53244822579025 + 47766399432976 = 7296905^2 + 6911324^2 .

It is not a de Polignac number, because 101011222012001 - 2³⁰ = 101010148270177 is a prime.

It is a super-3 number, since 3×101011222012001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011222012021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1030726755176 + ... + 1030726755273.

It is an arithmetic number, because the mean of its divisors is an integer number (19583808349275).

Almost surely, 2^{101011222012001} is an apocalyptic number.

It is an amenable number.

101011222012001 is a deficient number, since it is larger than the sum of its proper divisors (16491628083649).

101011222012001 is an equidigital number, since it uses as much as digits as its factorization.

101011222012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061453510463 (or 2061453510456 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011222012001 its reverse (100210222110101), we get a palindrome (201221444122102).

The spelling of 101011222012001 in words is "one hundred one trillion, eleven billion, two hundred twenty-two million, twelve thousand, one".