10100540314140 has 48 divisors (see below), whose sum is σ = 28281654944928. Its totient is φ = 2693463887104.

The previous prime is 10100540314099. The next prime is 10100540314147. The reversal of 10100540314140 is 4141304500101.

It is a happy number.

10100540314140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10100540314140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100540314147) 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, 18979114 + ... + 19504046.

It is an arithmetic number, because the mean of its divisors is an integer number (589201144686).

Almost surely, 2^{10100540314140} is an apocalyptic number.

10100540314140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100540314140 is an abundant number, since it is smaller than the sum of its proper divisors (18181114630788).

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

10100540314140 is a wasteful number, since it uses less digits than its factorization.

10100540314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845638 (or 845636 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10100540314140 its reverse (4141304500101), we get a palindrome (14241844814241).

The spelling of 10100540314140 in words is "ten trillion, one hundred billion, five hundred forty million, three hundred fourteen thousand, one hundred forty".