103016022100 has 72 divisors (see below), whose sum is σ = 235720607360. Its totient is φ = 38969579520.

The previous prime is 103016022061. The next prime is 103016022103. The reversal of 103016022100 is 1220610301.

103016022100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103016022100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103016022103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049317 + ... + 1143283.

Almost surely, 2^103016022100 is an apocalyptic number.

103016022100 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 103016022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117860303680).

103016022100 is an abundant number, since it is smaller than the sum of its proper divisors (132704585260).

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

103016022100 is a wasteful number, since it uses less digits than its factorization.

103016022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94577 (or 94570 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103016022100 its reverse (1220610301), we get a palindrome (104236632401).

The spelling of 103016022100 in words is "one hundred three billion, sixteen million, twenty-two thousand, one hundred".