101101332020233 has 16 divisors (see below), whose sum is σ = 106619842425600. Its totient is φ = 95602673232720.

The previous prime is 101101332020191. The next prime is 101101332020263. The reversal of 101101332020233 is 332020233101101.

It is a cyclic number.

It is not a de Polignac number, because 101101332020233 - 2³⁷ = 100963893066761 is a prime.

It is a super-2 number, since 2×101101332020233² (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 (101101332020263) 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 15 ways as a sum of consecutive naturals, for example, 30718410 + ... + 33850012.

It is an arithmetic number, because the mean of its divisors is an integer number (6663740151600).

Almost surely, 2^{101101332020233} is an apocalyptic number.

It is an amenable number.

101101332020233 is a deficient number, since it is larger than the sum of its proper divisors (5518510405367).

101101332020233 is a wasteful number, since it uses less digits than its factorization.

101101332020233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134772.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101101332020233 its reverse (332020233101101), we get a palindrome (433121565121334).

It can be divided in two parts, 101101 and 332020233, that multiplied together give a palindrome (33567577576533).

The spelling of 101101332020233 in words is "one hundred one trillion, one hundred one billion, three hundred thirty-two million, twenty thousand, two hundred thirty-three".