101133323035500 has 576 divisors, whose sum is σ = 349844208150528. Its totient is φ = 22234464000000.

The previous prime is 101133323035483. The next prime is 101133323035531. The reversal of 101133323035500 is 5530323331101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1253145150 + ... + 1253225850.

It is an arithmetic number, because the mean of its divisors is an integer number (607368416928).

Almost surely, 2^{101133323035500} is an apocalyptic number.

101133323035500 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 101133323035500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174922104075264).

101133323035500 is an abundant number, since it is smaller than the sum of its proper divisors (248710885115028).

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

101133323035500 is a wasteful number, since it uses less digits than its factorization.

101133323035500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80883 (or 80830 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 30.

Adding to 101133323035500 its reverse (5530323331101), we get a palindrome (106663646366601).

The spelling of 101133323035500 in words is "one hundred one trillion, one hundred thirty-three billion, three hundred twenty-three million, thirty-five thousand, five hundred".