103121102032200 has 288 divisors, whose sum is σ = 395797367347200. Its totient is φ = 23570016122880.

The previous prime is 103121102032139. The next prime is 103121102032217. The reversal of 103121102032200 is 2230201121301.

103121102032200 is a `hidden beast` number, since 1 + 0 + 31 + 211 + 0 + 203 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1096064761 + ... + 1096158839.

It is an arithmetic number, because the mean of its divisors is an integer number (1374296414400).

Almost surely, 2^{103121102032200} is an apocalyptic number.

103121102032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103121102032200 is an abundant number, since it is smaller than the sum of its proper divisors (292676265315000).

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

103121102032200 is a wasteful number, since it uses less digits than its factorization.

103121102032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181101 (or 181089 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103121102032200 its reverse (2230201121301), we get a palindrome (105351303153501).

The spelling of 103121102032200 in words is "one hundred three trillion, one hundred twenty-one billion, one hundred two million, thirty-two thousand, two hundred".