103015012100 has 288 divisors, whose sum is σ = 301036732416. Its totient is φ = 29550297600.

The previous prime is 103015012099. The next prime is 103015012109. The reversal of 103015012100 is 1210510301.

It is a super-2 number, since 2×103015012100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (103015012109) 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 95 ways as a sum of consecutive naturals, for example, 38336957 + ... + 38339643.

It is an arithmetic number, because the mean of its divisors is an integer number (1045266432).

Almost surely, 2^103015012100 is an apocalyptic number.

103015012100 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 103015012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150518366208).

103015012100 is an abundant number, since it is smaller than the sum of its proper divisors (198021720316).

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

103015012100 is a wasteful number, since it uses less digits than its factorization.

103015012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 103015012100 its reverse (1210510301), we get a palindrome (104225522401).

The spelling of 103015012100 in words is "one hundred three billion, fifteen million, twelve thousand, one hundred".