103121221969104 has 320 divisors, whose sum is σ = 288321296256000. Its totient is φ = 31652764692480.

The previous prime is 103121221969093. The next prime is 103121221969147. The reversal of 103121221969104 is 401969122121301.

103121221969104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103121221969104² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21006561402 + ... + 21006566310.

It is an arithmetic number, because the mean of its divisors is an integer number (901004050800).

Almost surely, 2^{103121221969104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103121221969104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144160648128000).

103121221969104 is an abundant number, since it is smaller than the sum of its proper divisors (185200074286896).

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

103121221969104 is a wasteful number, since it uses less digits than its factorization.

103121221969104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6946 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 103121221969104 in words is "one hundred three trillion, one hundred twenty-one billion, two hundred twenty-one million, nine hundred sixty-nine thousand, one hundred four".