101022320432033 has 72 divisors (see below), whose sum is σ = 141171920638560. Its totient is φ = 71431820328960.

The previous prime is 101022320431943. The next prime is 101022320432051. The reversal of 101022320432033 is 330234023220101.

It is a happy number.

It is not a de Polignac number, because 101022320432033 - 2¹² = 101022320427937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101022320431993 and 101022320432011.

It is not an unprimeable number, because it can be changed into a prime (101022320431033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4024160 + ... + 14772897.

It is an arithmetic number, because the mean of its divisors is an integer number (1960721119980).

Almost surely, 2^{101022320432033} is an apocalyptic number.

101022320432033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101022320432033 is a deficient number, since it is larger than the sum of its proper divisors (40149600206527).

101022320432033 is a wasteful number, since it uses less digits than its factorization.

101022320432033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18797167 (or 18797147 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 101022320432033 its reverse (330234023220101), we get a palindrome (431256343652134).

The spelling of 101022320432033 in words is "one hundred one trillion, twenty-two billion, three hundred twenty million, four hundred thirty-two thousand, thirty-three".