101134120021033 has 16 divisors (see below), whose sum is σ = 110410511170176. Its totient is φ = 91871465203840.

The previous prime is 101134120020977. The next prime is 101134120021049. The reversal of 101134120021033 is 330120021431101.

It is a cyclic number.

It is not a de Polignac number, because 101134120021033 - 2²⁵ = 101134086466601 is a prime.

It is a super-2 number, since 2×101134120021033² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101134120020995 and 101134120021013.

It is not an unprimeable number, because it can be changed into a prime (101134120021073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347223660 + ... + 347514802.

It is an arithmetic number, because the mean of its divisors is an integer number (6900656948136).

Almost surely, 2^{101134120021033} is an apocalyptic number.

It is an amenable number.

101134120021033 is a deficient number, since it is larger than the sum of its proper divisors (9276391149143).

101134120021033 is a wasteful number, since it uses less digits than its factorization.

101134120021033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314624.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101134120021033 its reverse (330120021431101), we get a palindrome (431254141452134).

The spelling of 101134120021033 in words is "one hundred one trillion, one hundred thirty-four billion, one hundred twenty million, twenty-one thousand, thirty-three".