100114024124010 has 192 divisors, whose sum is σ = 264172656189312. Its totient is φ = 24265396666368.

The previous prime is 100114024123957. The next prime is 100114024124011. The reversal of 100114024124010 is 10421420411001.

It is not an unprimeable number, because it can be changed into a prime (100114024124011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 820969762 + ... + 821091698.

It is an arithmetic number, because the mean of its divisors is an integer number (1375899250986).

Almost surely, 2^{100114024124010} is an apocalyptic number.

100114024124010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100114024124010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132086328094656).

100114024124010 is an abundant number, since it is smaller than the sum of its proper divisors (164058632065302).

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

100114024124010 is a wasteful number, since it uses less digits than its factorization.

100114024124010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124457 (or 124444 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 100114024124010 its reverse (10421420411001), we get a palindrome (110535444535011).

The spelling of 100114024124010 in words is "one hundred trillion, one hundred fourteen billion, twenty-four million, one hundred twenty-four thousand, ten".