1012000101120 has 216 divisors, whose sum is σ = 3519564711936. Its totient is φ = 268467830784.

The previous prime is 1012000101109. The next prime is 1012000101127. The reversal of 1012000101120 is 211010002101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1012000101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1995777 + ... + 2450943.

Almost surely, 2^{1012000101120} is an apocalyptic number.

1012000101120 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 1012000101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759782355968).

1012000101120 is an abundant number, since it is smaller than the sum of its proper divisors (2507564610816).

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

1012000101120 is a wasteful number, since it uses less digits than its factorization.

1012000101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455387 (or 455370 counting only the distinct ones).

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

Adding to 1012000101120 its reverse (211010002101), we get a palindrome (1223010103221).

The spelling of 1012000101120 in words is "one trillion, twelve billion, one hundred one thousand, one hundred twenty".