101133132121121 has 4 divisors (see below), whose sum is σ = 101133156823572. Its totient is φ = 101133107418672.

The previous prime is 101133132121079. The next prime is 101133132121141. The reversal of 101133132121121 is 121121231331101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 77860081754896 + 23273050366225 = 8823836^2 + 4824215^2 .

It is a cyclic number.

It is not a de Polignac number, because 101133132121121 - 2⁴² = 96735085610017 is a prime.

It is a super-2 number, since 2×101133132121121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101133132121141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4580510 + ... + 14941463.

It is an arithmetic number, because the mean of its divisors is an integer number (25283289205893).

Almost surely, 2^{101133132121121} is an apocalyptic number.

It is an amenable number.

101133132121121 is a deficient number, since it is larger than the sum of its proper divisors (24702451).

101133132121121 is an equidigital number, since it uses as much as digits as its factorization.

101133132121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24702450.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 101133132121121 its reverse (121121231331101), we get a palindrome (222254363452222).

The spelling of 101133132121121 in words is "one hundred one trillion, one hundred thirty-three billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred twenty-one".