15200121105 has 36 divisors (see below), whose sum is σ = 28529472348. Its totient is φ = 7483132800.

The previous prime is 15200121091. The next prime is 15200121109. The reversal of 15200121105 is 50112100251.

It can be written as a sum of positive squares in 6 ways, for example, as 1488647889 + 13711473216 = 38583^2 + 117096^2 .

It is not a de Polignac number, because 15200121105 - 2⁷ = 15200120977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15200121109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 991746 + ... + 1006955.

It is an arithmetic number, because the mean of its divisors is an integer number (792485343).

Almost surely, 2^15200121105 is an apocalyptic number.

15200121105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15200121105 is a deficient number, since it is larger than the sum of its proper divisors (13329351243).

15200121105 is a wasteful number, since it uses less digits than its factorization.

15200121105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998738 (or 1998722 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 15200121105 its reverse (50112100251), we get a palindrome (65312221356).

The spelling of 15200121105 in words is "fifteen billion, two hundred million, one hundred twenty-one thousand, one hundred five".