101123133323212 has 288 divisors, whose sum is σ = 245972363495040. Its totient is φ = 35375439052800.

The previous prime is 101123133323167. The next prime is 101123133323221. The reversal of 101123133323212 is 212323331321101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 608472864 + ... + 608639032.

It is an arithmetic number, because the mean of its divisors is an integer number (854070706580).

Almost surely, 2^{101123133323212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101123133323212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122986181747520).

101123133323212 is an abundant number, since it is smaller than the sum of its proper divisors (144849230171828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101123133323212 is a wasteful number, since it uses less digits than its factorization.

101123133323212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166593 (or 166580 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 101123133323212 its reverse (212323331321101), we get a palindrome (313446464644313).

The spelling of 101123133323212 in words is "one hundred one trillion, one hundred twenty-three billion, one hundred thirty-three million, three hundred twenty-three thousand, two hundred twelve".