101333100003101 has 8 divisors (see below), whose sum is σ = 101776119891264. Its totient is φ = 100890149464800.

The previous prime is 101333100003077. The next prime is 101333100003119. The reversal of 101333100003101 is 101300001333101.

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 101333100003101 - 2³⁴ = 101315920133917 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 101333100003101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333100603101) 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, 14407625 + ... + 20254526.

It is an arithmetic number, because the mean of its divisors is an integer number (12722014986408).

Almost surely, 2^{101333100003101} is an apocalyptic number.

It is an amenable number.

101333100003101 is a deficient number, since it is larger than the sum of its proper divisors (443019888163).

101333100003101 is a wasteful number, since it uses less digits than its factorization.

101333100003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34674931.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 101333100003101 its reverse (101300001333101), we get a palindrome (202633101336202).

The spelling of 101333100003101 in words is "one hundred one trillion, three hundred thirty-three billion, one hundred million, three thousand, one hundred one".