103013222100 has 288 divisors, whose sum is σ = 323169315840. Its totient is φ = 25237954560.

The previous prime is 103013222099. The next prime is 103013222107. The reversal of 103013222100 is 1222310301.

It is a super-2 number, since 2×103013222100² (a number of 23 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 103013222100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013222107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60276046 + ... + 60277754.

It is an arithmetic number, because the mean of its divisors is an integer number (1122115680).

Almost surely, 2^103013222100 is an apocalyptic number.

103013222100 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 103013222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161584657920).

103013222100 is an abundant number, since it is smaller than the sum of its proper divisors (220156093740).

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

103013222100 is a wasteful number, since it uses less digits than its factorization.

103013222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103013222100 its reverse (1222310301), we get a palindrome (104235532401).

The spelling of 103013222100 in words is "one hundred three billion, thirteen million, two hundred twenty-two thousand, one hundred".