101033020330101 has 12 divisors (see below), whose sum is σ = 145937497724928. Its totient is φ = 67354925592744.

The previous prime is 101033020330057. The next prime is 101033020330157.

It is a happy number.

101033020330101 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 330 + 2 + 0 + 330 + 1 + 0 + 1 = 666.

101033020330101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101033020330101 - 2⁶ = 101033020330037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101033020330171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33585525 + ... + 36469898.

It is an arithmetic number, because the mean of its divisors is an integer number (12161458143744).

Almost surely, 2^{101033020330101} is an apocalyptic number.

It is an amenable number.

101033020330101 is a deficient number, since it is larger than the sum of its proper divisors (44904477394827).

101033020330101 is a wasteful number, since it uses less digits than its factorization.

101033020330101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70215672 (or 70215669 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The spelling of 101033020330101 in words is "one hundred one trillion, thirty-three billion, twenty million, three hundred thirty thousand, one hundred one".