10102114440 has 192 divisors, whose sum is σ = 36785136960. Its totient is φ = 2382773760.

The previous prime is 10102114433. The next prime is 10102114457. The reversal of 10102114440 is 4441120101.

10102114440 is a `hidden beast` number, since 1 + 0 + 10 + 211 + 4 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112047 + ... + 180993.

It is an arithmetic number, because the mean of its divisors is an integer number (191589255).

Almost surely, 2^10102114440 is an apocalyptic number.

10102114440 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 10102114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18392568480).

10102114440 is an abundant number, since it is smaller than the sum of its proper divisors (26683022520).

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

10102114440 is a wasteful number, since it uses less digits than its factorization.

10102114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69012 (or 69005 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10102114440 its reverse (4441120101), we get a palindrome (14543234541).

The spelling of 10102114440 in words is "ten billion, one hundred two million, one hundred fourteen thousand, four hundred forty".