10100045120 has 112 divisors (see below), whose sum is σ = 26374880448. Its totient is φ = 3653468160.

The previous prime is 10100045077. The next prime is 10100045129. The reversal of 10100045120 is 2154000101.

It is a super-2 number, since 2×10100045120² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100045095 and 10100045104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100045129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671927 + ... + 686793.

It is an arithmetic number, because the mean of its divisors is an integer number (235490004).

Almost surely, 2^10100045120 is an apocalyptic number.

10100045120 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 10100045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13187440224).

10100045120 is an abundant number, since it is smaller than the sum of its proper divisors (16274835328).

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

10100045120 is a wasteful number, since it uses less digits than its factorization.

10100045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15088 (or 15078 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 10100045120 its reverse (2154000101), we get a palindrome (12254045221).

The spelling of 10100045120 in words is "ten billion, one hundred million, forty-five thousand, one hundred twenty".