100330125120 has 280 divisors, whose sum is σ = 359096547744. Its totient is φ = 26589441024.

The previous prime is 100330125113. The next prime is 100330125127. The reversal of 100330125120 is 21521033001.

It is an interprime number because it is at equal distance from previous prime (100330125113) and next prime (100330125127).

It is a super-2 number, since 2×100330125120² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100330125093 and 100330125102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330125127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4213087 + ... + 4236833.

Almost surely, 2^100330125120 is an apocalyptic number.

100330125120 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 100330125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179548273872).

100330125120 is an abundant number, since it is smaller than the sum of its proper divisors (258766422624).

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

100330125120 is a wasteful number, since it uses less digits than its factorization.

100330125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23939 (or 23920 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 100330125120 its reverse (21521033001), we get a palindrome (121851158121).

The spelling of 100330125120 in words is "one hundred billion, three hundred thirty million, one hundred twenty-five thousand, one hundred twenty".