10020214911168 has 560 divisors, whose sum is σ = 37194434323200. Its totient is φ = 2591264286720.

The previous prime is 10020214911137. The next prime is 10020214911169. The reversal of 10020214911168 is 86111941202001.

10020214911168 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 2 + 1 + 491 + 1 + 168 = 666.

It is a super-2 number, since 2×10020214911168² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10020214911169) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 91354663 + ... + 91464281.

It is an arithmetic number, because the mean of its divisors is an integer number (66418632720).

Almost surely, 2^{10020214911168} is an apocalyptic number.

10020214911168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020214911168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597217161600).

10020214911168 is an abundant number, since it is smaller than the sum of its proper divisors (27174219412032).

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

10020214911168 is a wasteful number, since it uses less digits than its factorization.

10020214911168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109890 (or 109871 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 10020214911168 in words is "ten trillion, twenty billion, two hundred fourteen million, nine hundred eleven thousand, one hundred sixty-eight".