100210100032014 has 24 divisors (see below), whose sum is σ = 233141865381288. Its totient is φ = 28631457151920.

The previous prime is 100210100031961. The next prime is 100210100032051. The reversal of 100210100032014 is 410230001012001.

It is a super-4 number, since 4×100210100032014⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210100031984 and 100210100032002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170425339897 + ... + 170425340484.

It is an arithmetic number, because the mean of its divisors is an integer number (9714244390887).

Almost surely, 2^{100210100032014} is an apocalyptic number.

100210100032014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100210100032014 is an abundant number, since it is smaller than the sum of its proper divisors (132931765349274).

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

100210100032014 is a wasteful number, since it uses less digits than its factorization.

100210100032014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340850680400 (or 340850680393 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100210100032014 its reverse (410230001012001), we get a palindrome (510440101044015).

The spelling of 100210100032014 in words is "one hundred trillion, two hundred ten billion, one hundred million, thirty-two thousand, fourteen".