103121312010101 has 64 divisors (see below), whose sum is σ = 138082019328000. Its totient is φ = 74643619564800.

The previous prime is 103121312010089. The next prime is 103121312010103. The reversal of 103121312010101 is 101010213121301.

It is a de Polignac number, because none of the positive numbers 2^k-103121312010101 is a prime.

It is a super-3 number, since 3×103121312010101³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103121312010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121312010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2492975 + ... + 14575923.

It is an arithmetic number, because the mean of its divisors is an integer number (2157531552000).

Almost surely, 2^{103121312010101} is an apocalyptic number.

103121312010101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103121312010101 is a deficient number, since it is larger than the sum of its proper divisors (34960707317899).

103121312010101 is a wasteful number, since it uses less digits than its factorization.

103121312010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12083130.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 103121312010101 its reverse (101010213121301), we get a palindrome (204131525131402).

The spelling of 103121312010101 in words is "one hundred three trillion, one hundred twenty-one billion, three hundred twelve million, ten thousand, one hundred one".