101321212030101 has 18 divisors (see below), whose sum is σ = 170247206609142. Its totient is φ = 57897835445520.

The previous prime is 101321212030099. The next prime is 101321212030163. The reversal of 101321212030101 is 101030212123101.

101321212030101 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 21 + 20 + 301 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99184569131025 + 2136642899076 = 9959145^2 + 1461726^2 .

It is not a de Polignac number, because 101321212030101 - 2¹ = 101321212030099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321212030301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114876657190 + ... + 114876658071.

Almost surely, 2^{101321212030101} is an apocalyptic number.

It is an amenable number.

101321212030101 is a deficient number, since it is larger than the sum of its proper divisors (68925994579041).

101321212030101 is a wasteful number, since it uses less digits than its factorization.

101321212030101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229753315281 (or 229753315271 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101321212030101 its reverse (101030212123101), we get a palindrome (202351424153202).

The spelling of 101321212030101 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twelve million, thirty thousand, one hundred one".