10120540115140 has 192 divisors, whose sum is σ = 28278602150400. Its totient is φ = 2952394665984.

The previous prime is 10120540115137. The next prime is 10120540115143. The reversal of 10120540115140 is 4151104502101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10120540115137) and next prime (10120540115143).

It is not an unprimeable number, because it can be changed into a prime (10120540115143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2675545 + ... + 5234464.

It is an arithmetic number, because the mean of its divisors is an integer number (147284386200).

Almost surely, 2^{10120540115140} is an apocalyptic number.

10120540115140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120540115140 is an abundant number, since it is smaller than the sum of its proper divisors (18158062035260).

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

10120540115140 is a wasteful number, since it uses less digits than its factorization.

10120540115140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7910094 (or 7910092 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

Adding to 10120540115140 its reverse (4151104502101), we get a palindrome (14271644617241).

The spelling of 10120540115140 in words is "ten trillion, one hundred twenty billion, five hundred forty million, one hundred fifteen thousand, one hundred forty".