101122331123000 has 256 divisors, whose sum is σ = 276140110296960. Its totient is φ = 34251915264000.

The previous prime is 101122331122963. The next prime is 101122331123053. The reversal of 101122331123000 is 321133221101.

It is a happy number.

101122331123000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101122331123000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15351572 + ... + 20926428.

Almost surely, 2^{101122331123000} is an apocalyptic number.

101122331123000 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 101122331123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138070055148480).

101122331123000 is an abundant number, since it is smaller than the sum of its proper divisors (175017779173960).

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

101122331123000 is a wasteful number, since it uses less digits than its factorization.

101122331123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575003 (or 5574989 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101122331123000 its reverse (321133221101), we get a palindrome (101443464344101).

The spelling of 101122331123000 in words is "one hundred one trillion, one hundred twenty-two billion, three hundred thirty-one million, one hundred twenty-three thousand".