103122203001012 has 576 divisors, whose sum is σ = 308883147116544. Its totient is φ = 28706544599040.

The previous prime is 103122203001007. The next prime is 103122203001031. The reversal of 103122203001012 is 210100302221301.

103122203001012 is a `hidden beast` number, since 1 + 0 + 312 + 220 + 30 + 0 + 101 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 38724070393 + ... + 38724073055.

It is an arithmetic number, because the mean of its divisors is an integer number (536255463744).

Almost surely, 2^{103122203001012} is an apocalyptic number.

103122203001012 is a gapful number since it is divisible by the number (12) 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 103122203001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441573558272).

103122203001012 is an abundant number, since it is smaller than the sum of its proper divisors (205760944115532).

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

103122203001012 is a wasteful number, since it uses less digits than its factorization.

103122203001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103122203001012 its reverse (210100302221301), we get a palindrome (313222505222313).

The spelling of 103122203001012 in words is "one hundred three trillion, one hundred twenty-two billion, two hundred three million, one thousand, twelve".