103112210301001 has 24 divisors (see below), whose sum is σ = 122932123858152. Its totient is φ = 86072537548800.

The previous prime is 103112210300989. The next prime is 103112210301011. The reversal of 103112210301001 is 100103012211301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 344844945225 + 102767365355776 = 587235^2 + 10137424^2 .

It is a de Polignac number, because none of the positive numbers 2^k-103112210301001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103112210301011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611226300 + ... + 611394973.

It is an arithmetic number, because the mean of its divisors is an integer number (5122171827423).

Almost surely, 2^{103112210301001} is an apocalyptic number.

103112210301001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103112210301001 is a deficient number, since it is larger than the sum of its proper divisors (19819913557151).

103112210301001 is a wasteful number, since it uses less digits than its factorization.

103112210301001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222621353 (or 1222621342 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 103112210301001 its reverse (100103012211301), we get a palindrome (203215222512302).

The spelling of 103112210301001 in words is "one hundred three trillion, one hundred twelve billion, two hundred ten million, three hundred one thousand, one".