1010512011420 has 144 divisors (see below), whose sum is σ = 3096494358048. Its totient is φ = 266722060800.

The previous prime is 1010512011349. The next prime is 1010512011469. The reversal of 1010512011420 is 241102150101.

1010512011420 is a `hidden beast` number, since 1 + 0 + 10 + 512 + 0 + 1 + 142 + 0 = 666.

1010512011420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010512011420² (a number of 25 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 = 1010512011393 and 1010512011402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84294667 + ... + 84306653.

It is an arithmetic number, because the mean of its divisors is an integer number (21503433042).

Almost surely, 2^{1010512011420} is an apocalyptic number.

1010512011420 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 1010512011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548247179024).

1010512011420 is an abundant number, since it is smaller than the sum of its proper divisors (2085982346628).

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

1010512011420 is a wasteful number, since it uses less digits than its factorization.

1010512011420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16740 (or 16735 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 1010512011420 its reverse (241102150101), we get a palindrome (1251614161521).

The spelling of 1010512011420 in words is "one trillion, ten billion, five hundred twelve million, eleven thousand, four hundred twenty".