100014114130002 has 48 divisors (see below), whose sum is σ = 218458935241560. Its totient is φ = 33067410368256.

The previous prime is 100014114129949. The next prime is 100014114130013. The reversal of 100014114130002 is 200031411410001.

It can be written as a sum of positive squares in 4 ways, for example, as 40248860951601 + 59765253178401 = 6344199^2 + 7730799^2 .

It is a super-3 number, since 3×100014114130002³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13726477 + ... + 19708992.

Almost surely, 2^{100014114130002} is an apocalyptic number.

100014114130002 is an abundant number, since it is smaller than the sum of its proper divisors (118444821111558).

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

100014114130002 is a wasteful number, since it uses less digits than its factorization.

100014114130002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33436827 (or 33436824 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100014114130002 its reverse (200031411410001), we get a palindrome (300045525540003).

The spelling of 100014114130002 in words is "one hundred trillion, fourteen billion, one hundred fourteen million, one hundred thirty thousand, two".