103820128401 has 16 divisors (see below), whose sum is σ = 151020243648. Its totient is φ = 62917478400.

The previous prime is 103820128397. The next prime is 103820128403. The reversal of 103820128401 is 104821028301.

It is not a de Polignac number, because 103820128401 - 2² = 103820128397 is a prime.

It is a super-2 number, since 2×103820128401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103820128403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516321 + ... + 688641.

It is an arithmetic number, because the mean of its divisors is an integer number (9438765228).

Almost surely, 2^103820128401 is an apocalyptic number.

103820128401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103820128401 is a deficient number, since it is larger than the sum of its proper divisors (47200115247).

103820128401 is a wasteful number, since it uses less digits than its factorization.

103820128401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190592.

The product of its (nonzero) digits is 3072, while the sum is 30.

It can be divided in two parts, 103820 and 128401, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 103820128401 in words is "one hundred three billion, eight hundred twenty million, one hundred twenty-eight thousand, four hundred one".