10010114123100 has 288 divisors, whose sum is σ = 36475260433920. Its totient is φ = 2062906997760.

The previous prime is 10010114123099. The next prime is 10010114123153. The reversal of 10010114123100 is 132141101001.

10010114123100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10010114123100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10010114123100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3089715 + ... + 5437514.

It is an arithmetic number, because the mean of its divisors is an integer number (126650209840).

Almost surely, 2^{10010114123100} is an apocalyptic number.

10010114123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010114123100 is an abundant number, since it is smaller than the sum of its proper divisors (26465146310820).

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

10010114123100 is a wasteful number, since it uses less digits than its factorization.

10010114123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8527309 (or 8527302 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10010114123100 its reverse (132141101001), we get a palindrome (10142255224101).

The spelling of 10010114123100 in words is "ten trillion, ten billion, one hundred fourteen million, one hundred twenty-three thousand, one hundred".