101233311123000 has 256 divisors, whose sum is σ = 361101539635200. Its totient is φ = 23130550502400.

The previous prime is 101233311122921. The next prime is 101233311123001. The reversal of 101233311123000 is 321113332101.

It is a happy number.

It is a super-2 number, since 2×101233311123000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101233311123001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56425777 + ... + 58192223.

It is an arithmetic number, because the mean of its divisors is an integer number (1410552889200).

Almost surely, 2^{101233311123000} is an apocalyptic number.

101233311123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101233311123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180550769817600).

101233311123000 is an abundant number, since it is smaller than the sum of its proper divisors (259868228512200).

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

101233311123000 is a wasteful number, since it uses less digits than its factorization.

101233311123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769207 (or 1769193 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101233311123000 its reverse (321113332101), we get a palindrome (101554424455101).

The spelling of 101233311123000 in words is "one hundred one trillion, two hundred thirty-three billion, three hundred eleven million, one hundred twenty-three thousand".