10014200124100 has 36 divisors (see below), whose sum is σ = 21731281870228. Its totient is φ = 4005593856000.

The previous prime is 10014200124029. The next prime is 10014200124107. The reversal of 10014200124100 is 142100241001.

It is a happy number.

10014200124100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 361347658884 + 9652852465216 = 601122^2 + 3106904^2 .

It is not an unprimeable number, because it can be changed into a prime (10014200124107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3698440 + ... + 5805760.

Almost surely, 2^{10014200124100} is an apocalyptic number.

10014200124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014200124100 is an abundant number, since it is smaller than the sum of its proper divisors (11717081746128).

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

10014200124100 is a wasteful number, since it uses less digits than its factorization.

10014200124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154856 (or 2154849 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10014200124100 its reverse (142100241001), we get a palindrome (10156300365101).

The spelling of 10014200124100 in words is "ten trillion, fourteen billion, two hundred million, one hundred twenty-four thousand, one hundred".