103233332220100 has 144 divisors (see below), whose sum is σ = 235163892297600. Its totient is φ = 39260216934400.

The previous prime is 103233332220089. The next prime is 103233332220103. The reversal of 103233332220100 is 1022233332301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (103233332220103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1782960951 + ... + 1783018849.

It is an arithmetic number, because the mean of its divisors is an integer number (1633082585400).

Almost surely, 2^{103233332220100} is an apocalyptic number.

103233332220100 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 103233332220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117581946148800).

103233332220100 is an abundant number, since it is smaller than the sum of its proper divisors (131930560077500).

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

103233332220100 is a wasteful number, since it uses less digits than its factorization.

103233332220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62590 (or 62583 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 103233332220100 its reverse (1022233332301), we get a palindrome (104255565552401).

The spelling of 103233332220100 in words is "one hundred three trillion, two hundred thirty-three billion, three hundred thirty-two million, two hundred twenty thousand, one hundred".