1012101120 has 468 divisors, whose sum is σ = 3922833720. Its totient is φ = 240648192.

The previous prime is 1012101109. The next prime is 1012101121. The reversal of 1012101120 is 211012101.

It is a happy number.

It is a super-3 number, since 3×1012101120³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53268471 + ... + 53268489.

Almost surely, 2^1012101120 is an apocalyptic number.

1012101120 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 1012101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961416860).

1012101120 is an abundant number, since it is smaller than the sum of its proper divisors (2910732600).

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

1012101120 is a wasteful number, since it uses less digits than its factorization.

1012101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1012101120 is about 31813.5367414565. The cubic root of 1012101120 is about 1004.0175443885.

Adding to 1012101120 its reverse (211012101), we get a palindrome (1223113221).

The spelling of 1012101120 in words is "one billion, twelve million, one hundred one thousand, one hundred twenty".