103100101010010 has 576 divisors, whose sum is σ = 317046688358400. Its totient is φ = 24028618408704.

The previous prime is 103100101009979. The next prime is 103100101010047. The reversal of 103100101010010 is 10010101001301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103100101009974 and 103100101010001.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19530230551 + ... + 19530235829.

It is an arithmetic number, because the mean of its divisors is an integer number (550428278400).

Almost surely, 2^{103100101010010} is an apocalyptic number.

103100101010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103100101010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158523344179200).

103100101010010 is an abundant number, since it is smaller than the sum of its proper divisors (213946587348390).

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

103100101010010 is a wasteful number, since it uses less digits than its factorization.

103100101010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849 (or 7824 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 103100101010010 its reverse (10010101001301), we get a palindrome (113110202011311).

The spelling of 103100101010010 in words is "one hundred three trillion, one hundred billion, one hundred one million, ten thousand, ten".