101021232122133 has 16 divisors (see below), whose sum is σ = 148819001798016. Its totient is φ = 60629963694080.

The previous prime is 101021232122117. The next prime is 101021232122159. The reversal of 101021232122133 is 331221232120101.

It is a cyclic number.

It is not a de Polignac number, because 101021232122133 - 2⁴ = 101021232122117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021232122183) 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, 43061052588 + ... + 43061054933.

It is an arithmetic number, because the mean of its divisors is an integer number (9301187612376).

Almost surely, 2^{101021232122133} is an apocalyptic number.

It is an amenable number.

101021232122133 is a deficient number, since it is larger than the sum of its proper divisors (47797769675883).

101021232122133 is a wasteful number, since it uses less digits than its factorization.

101021232122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86122107564.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101021232122133 its reverse (331221232120101), we get a palindrome (432242464242234).

The spelling of 101021232122133 in words is "one hundred one trillion, twenty-one billion, two hundred thirty-two million, one hundred twenty-two thousand, one hundred thirty-three".