1010100111020 has 576 divisors, whose sum is σ = 2963543708160. Its totient is φ = 284207616000.

The previous prime is 1010100111001. The next prime is 1010100111023. The reversal of 1010100111020 is 201110010101.

It is a happy number.

1010100111020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010100110989 and 1010100111007.

It is not an unprimeable number, because it can be changed into a prime (1010100111023) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1680698720 + ... + 1680699320.

It is an arithmetic number, because the mean of its divisors is an integer number (5145041160).

Almost surely, 2^{1010100111020} is an apocalyptic number.

1010100111020 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 1010100111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481771854080).

1010100111020 is an abundant number, since it is smaller than the sum of its proper divisors (1953443597140).

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

1010100111020 is a wasteful number, since it uses less digits than its factorization.

1010100111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010100111020 its reverse (201110010101), we get a palindrome (1211210121121).

The spelling of 1010100111020 in words is "one trillion, ten billion, one hundred million, one hundred eleven thousand, twenty".