103122203213100 has 144 divisors (see below), whose sum is σ = 300777588613376. Its totient is φ = 27277598880000.

The previous prime is 103122203213069. The next prime is 103122203213131. The reversal of 103122203213100 is 1312302221301.

It is an interprime number because it is at equal distance from previous prime (103122203213069) and next prime (103122203213131).

It is a super-2 number, since 2×103122203213100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29655102 + ... + 32949498.

Almost surely, 2^{103122203213100} is an apocalyptic number.

103122203213100 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 103122203213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150388794306688).

103122203213100 is an abundant number, since it is smaller than the sum of its proper divisors (197655385400276).

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

103122203213100 is a wasteful number, since it uses less digits than its factorization.

103122203213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295256 (or 3295249 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103122203213100 its reverse (1312302221301), we get a palindrome (104434505434401).

The spelling of 103122203213100 in words is "one hundred three trillion, one hundred twenty-two billion, two hundred three million, two hundred thirteen thousand, one hundred".