100103121 has 12 divisors (see below), whose sum is σ = 149949072. Its totient is φ = 66735252.

The previous prime is 100103119. The next prime is 100103137. The reversal of 100103121 is 121301001.

It is not a de Polignac number, because 100103121 - 2¹ = 100103119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100103111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205731 + ... + 206216.

It is an arithmetic number, because the mean of its divisors is an integer number (12495756).

Almost surely, 2^100103121 is an apocalyptic number.

It is an amenable number.

100103121 is a deficient number, since it is larger than the sum of its proper divisors (49845951).

100103121 is an frugal number, since it uses more digits than its factorization.

100103121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411962 (or 411950 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100103121 is about 10005.1547214423. The cubic root of 100103121 is about 464.3183769774.

Adding to 100103121 its reverse (121301001), we get a palindrome (221404122).

It can be divided in two parts, 10010 and 3121, that added together give a palindrome (13131).

The spelling of 100103121 in words is "one hundred million, one hundred three thousand, one hundred twenty-one".