103011032011200 has 168 divisors, whose sum is σ = 337975811354112. Its totient is φ = 27468488186880.

The previous prime is 103011032011127. The next prime is 103011032011201. The reversal of 103011032011200 is 2110230110301.

It is a happy number.

It is a super-2 number, since 2×103011032011200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103011032011200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011032011201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 120760587 + ... + 121610613.

Almost surely, 2^{103011032011200} is an apocalyptic number.

103011032011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103011032011200 is an abundant number, since it is smaller than the sum of its proper divisors (234964779342912).

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

103011032011200 is a wasteful number, since it uses less digits than its factorization.

103011032011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875299 (or 875284 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103011032011200 its reverse (2110230110301), we get a palindrome (105121262121501).

The spelling of 103011032011200 in words is "one hundred three trillion, eleven billion, thirty-two million, eleven thousand, two hundred".