15112616042100 has 144 divisors (see below), whose sum is σ = 45629858252160. Its totient is φ = 3854567270400.

The previous prime is 15112616042081. The next prime is 15112616042107. The reversal of 15112616042100 is 124061621151.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15112616042107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124753560 + ... + 124874640.

It is an arithmetic number, because the mean of its divisors is an integer number (316874015640).

Almost surely, 2^{15112616042100} is an apocalyptic number.

15112616042100 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 15112616042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22814929126080).

15112616042100 is an abundant number, since it is smaller than the sum of its proper divisors (30517242210060).

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

15112616042100 is a wasteful number, since it uses less digits than its factorization.

15112616042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139210 (or 139203 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 15112616042100 its reverse (124061621151), we get a palindrome (15236677663251).

The spelling of 15112616042100 in words is "fifteen trillion, one hundred twelve billion, six hundred sixteen million, forty-two thousand, one hundred".