10141104136020 has 768 divisors, whose sum is σ = 34436441088000. Its totient is φ = 2197485158400.

The previous prime is 10141104136019. The next prime is 10141104136049. The reversal of 10141104136020 is 2063140114101.

It is a happy number.

10141104136020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10141104136020² (a number of 27 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 255 ways as a sum of consecutive naturals, for example, 20322853731 + ... + 20322854229.

It is an arithmetic number, because the mean of its divisors is an integer number (44839116000).

Almost surely, 2^{10141104136020} is an apocalyptic number.

10141104136020 is a gapful number since it is divisible by the number (10) 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 10141104136020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218220544000).

10141104136020 is an abundant number, since it is smaller than the sum of its proper divisors (24295336951980).

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

10141104136020 is a wasteful number, since it uses less digits than its factorization.

10141104136020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 10141104136020 in words is "ten trillion, one hundred forty-one billion, one hundred four million, one hundred thirty-six thousand, twenty".