101211120201133 has 8 divisors (see below), whose sum is σ = 107164994888952. Its totient is φ = 95257276555776.

The previous prime is 101211120201127. The next prime is 101211120201151. The reversal of 101211120201133 is 331102021112101.

It can be written as a sum of positive squares in 4 ways, for example, as 61850014212484 + 39361105988649 = 7864478^2 + 6273843^2 .

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 101211120201133 - 2⁵ = 101211120201101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101211120201133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211120201733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873360 + ... + 14254297.

It is an arithmetic number, because the mean of its divisors is an integer number (13395624361119).

Almost surely, 2^{101211120201133} is an apocalyptic number.

It is an amenable number.

101211120201133 is a deficient number, since it is larger than the sum of its proper divisors (5953874687819).

101211120201133 is a wasteful number, since it uses less digits than its factorization.

101211120201133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15521231.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 101211120201133 its reverse (331102021112101), we get a palindrome (432313141313234).

The spelling of 101211120201133 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty million, two hundred one thousand, one hundred thirty-three".