10042114214110 has 128 divisors (see below), whose sum is σ = 21075588661248. Its totient is φ = 3404663808000.

The previous prime is 10042114214089. The next prime is 10042114214177. The reversal of 10042114214110 is 1141241124001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86019639 + ... + 86136301.

It is an arithmetic number, because the mean of its divisors is an integer number (164653036416).

Almost surely, 2^{10042114214110} is an apocalyptic number.

10042114214110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10042114214110 is an abundant number, since it is smaller than the sum of its proper divisors (11033474447138).

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

10042114214110 is a wasteful number, since it uses less digits than its factorization.

10042114214110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117130.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 10042114214110 its reverse (1141241124001), we get a palindrome (11183355338111).

The spelling of 10042114214110 in words is "ten trillion, forty-two billion, one hundred fourteen million, two hundred fourteen thousand, one hundred ten".