103021222100 has 72 divisors (see below), whose sum is σ = 226346976408. Its totient is φ = 40696128000.

The previous prime is 103021222063. The next prime is 103021222111. The reversal of 103021222100 is 1222120301.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 485497156 + 102535724944 = 22034^2 + 320212^2 .

It is a super-2 number, since 2×103021222100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3996854 + ... + 4022546.

Almost surely, 2^103021222100 is an apocalyptic number.

103021222100 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 103021222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113173488204).

103021222100 is an abundant number, since it is smaller than the sum of its proper divisors (123325754308).

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

103021222100 is a wasteful number, since it uses less digits than its factorization.

103021222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26205 (or 26198 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 103021222100 its reverse (1222120301), we get a palindrome (104243342401).

The spelling of 103021222100 in words is "one hundred three billion, twenty-one million, two hundred twenty-two thousand, one hundred".