10061100610540 has 192 divisors, whose sum is σ = 25305828710400. Its totient is φ = 3285255536640.

The previous prime is 10061100610511. The next prime is 10061100610567. The reversal of 10061100610540 is 4501600116001.

10061100610540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 709870894 + ... + 709885066.

It is an arithmetic number, because the mean of its divisors is an integer number (131801191200).

Almost surely, 2^{10061100610540} is an apocalyptic number.

10061100610540 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 10061100610540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12652914355200).

10061100610540 is an abundant number, since it is smaller than the sum of its proper divisors (15244728099860).

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

10061100610540 is a wasteful number, since it uses less digits than its factorization.

10061100610540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15152 (or 15150 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 10061100610540 its reverse (4501600116001), we get a palindrome (14562700726541).

The spelling of 10061100610540 in words is "ten trillion, sixty-one billion, one hundred million, six hundred ten thousand, five hundred forty".