101133122121 has 6 divisors (see below), whose sum is σ = 146081176410. Its totient is φ = 67422081408.

The previous prime is 101133122117. The next prime is 101133122161. The reversal of 101133122121 is 121221331101.

It can be written as a sum of positive squares in only one way, i.e., 89541585225 + 11591536896 = 299235^2 + 107664^2 .

It is not a de Polignac number, because 101133122121 - 2² = 101133122117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101133122094 and 101133122103.

It is not an unprimeable number, because it can be changed into a prime (101133122161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5618506776 + ... + 5618506793.

It is an arithmetic number, because the mean of its divisors is an integer number (24346862735).

Almost surely, 2^101133122121 is an apocalyptic number.

It is an amenable number.

101133122121 is a deficient number, since it is larger than the sum of its proper divisors (44948054289).

101133122121 is a wasteful number, since it uses less digits than its factorization.

101133122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11237013575 (or 11237013572 counting only the distinct ones).

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

Adding to 101133122121 its reverse (121221331101), we get a palindrome (222354453222).

The spelling of 101133122121 in words is "one hundred one billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty-one".