10010212143120 has 240 divisors, whose sum is σ = 38422409201280. Its totient is φ = 2287913803776.

The previous prime is 10010212143119. The next prime is 10010212143131. The reversal of 10010212143120 is 2134121201001.

10010212143120 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 212 + 1 + 431 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 10010212143093 and 10010212143102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103911936 + ... + 104008224.

It is an arithmetic number, because the mean of its divisors is an integer number (160093371672).

Almost surely, 2^{10010212143120} is an apocalyptic number.

10010212143120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010212143120 is an abundant number, since it is smaller than the sum of its proper divisors (28412197058160).

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

10010212143120 is a wasteful number, since it uses less digits than its factorization.

10010212143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116942 (or 116933 counting only the distinct ones).

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

Adding to 10010212143120 its reverse (2134121201001), we get a palindrome (12144333344121).

The spelling of 10010212143120 in words is "ten trillion, ten billion, two hundred twelve million, one hundred forty-three thousand, one hundred twenty".