10110213120 has 704 divisors, whose sum is σ = 40088448000. Its totient is φ = 2167603200.

The previous prime is 10110213119. The next prime is 10110213121. The reversal of 10110213120 is 2131201101.

It is an interprime number because it is at equal distance from previous prime (10110213119) and next prime (10110213121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10110213096 and 10110213105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110213121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100101070 + ... + 100101170.

Almost surely, 2^10110213120 is an apocalyptic number.

10110213120 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 10110213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20044224000).

10110213120 is an abundant number, since it is smaller than the sum of its proper divisors (29978234880).

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

10110213120 is a wasteful number, since it uses less digits than its factorization.

10110213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10110213120 its reverse (2131201101), we get a palindrome (12241414221).

The spelling of 10110213120 in words is "ten billion, one hundred ten million, two hundred thirteen thousand, one hundred twenty".