101233111212321 has 128 divisors (see below), whose sum is σ = 163482967388160. Its totient is φ = 54998892748800.

The previous prime is 101233111212293. The next prime is 101233111212329. The reversal of 101233111212321 is 123212111332101.

It is not a de Polignac number, because 101233111212321 - 2⁶ = 101233111212257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101233111212291 and 101233111212300.

It is not an unprimeable number, because it can be changed into a prime (101233111212329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 848947915 + ... + 849067151.

It is an arithmetic number, because the mean of its divisors is an integer number (1277210682720).

Almost surely, 2^{101233111212321} is an apocalyptic number.

101233111212321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101233111212321 is a deficient number, since it is larger than the sum of its proper divisors (62249856175839).

101233111212321 is a wasteful number, since it uses less digits than its factorization.

101233111212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119927.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 101233111212321 its reverse (123212111332101), we get a palindrome (224445222544422).

The spelling of 101233111212321 in words is "one hundred one trillion, two hundred thirty-three billion, one hundred eleven million, two hundred twelve thousand, three hundred twenty-one".