15100135542120 has 256 divisors, whose sum is σ = 47860521984000. Its totient is φ = 3805284510720.

The previous prime is 15100135542101. The next prime is 15100135542127. The reversal of 15100135542120 is 2124553100151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (15100135542127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904245531 + ... + 904262229.

It is an arithmetic number, because the mean of its divisors is an integer number (186955164000).

Almost surely, 2^{15100135542120} is an apocalyptic number.

15100135542120 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 15100135542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23930260992000).

15100135542120 is an abundant number, since it is smaller than the sum of its proper divisors (32760386441880).

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

15100135542120 is a wasteful number, since it uses less digits than its factorization.

15100135542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22440 (or 22436 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 15100135542120 its reverse (2124553100151), we get a palindrome (17224688642271).

The spelling of 15100135542120 in words is "fifteen trillion, one hundred billion, one hundred thirty-five million, five hundred forty-two thousand, one hundred twenty".