10010114114240 has 112 divisors (see below), whose sum is σ = 24166492964352. Its totient is φ = 3948643270656.

The previous prime is 10010114114219. The next prime is 10010114114267. The reversal of 10010114114240 is 4241141101001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193792097 + ... + 193843743.

Almost surely, 2^{10010114114240} is an apocalyptic number.

10010114114240 is a gapful number since it is divisible by the number (10) 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 10010114114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12083246482176).

10010114114240 is an abundant number, since it is smaller than the sum of its proper divisors (14156378850112).

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

10010114114240 is an equidigital number, since it uses as much as digits as its factorization.

10010114114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60034 (or 60024 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10010114114240 its reverse (4241141101001), we get a palindrome (14251255215241).

The spelling of 10010114114240 in words is "ten trillion, ten billion, one hundred fourteen million, one hundred fourteen thousand, two hundred forty".