101232033321100 has 144 divisors (see below), whose sum is σ = 240114857915520. Its totient is φ = 36739319372800.

The previous prime is 101232033321091. The next prime is 101232033321131. The reversal of 101232033321100 is 1123330232101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4198222644 + ... + 4198246756.

It is an arithmetic number, because the mean of its divisors is an integer number (1667464291080).

Almost surely, 2^{101232033321100} is an apocalyptic number.

101232033321100 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 101232033321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120057428957760).

101232033321100 is an abundant number, since it is smaller than the sum of its proper divisors (138882824594420).

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

101232033321100 is a wasteful number, since it uses less digits than its factorization.

101232033321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31480 (or 31473 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101232033321100 its reverse (1123330232101), we get a palindrome (102355363553201).

The spelling of 101232033321100 in words is "one hundred one trillion, two hundred thirty-two billion, thirty-three million, three hundred twenty-one thousand, one hundred".