1013012012100 has 216 divisors, whose sum is σ = 3233937389760. Its totient is φ = 244642604800.

The previous prime is 1013012012041. The next prime is 1013012012101. The reversal of 1013012012100 is 12102103101.

1013012012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1013012012101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9493846 + ... + 9599954.

It is an arithmetic number, because the mean of its divisors is an integer number (14971932360).

Almost surely, 2^{1013012012100} is an apocalyptic number.

1013012012100 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 1013012012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616968694880).

1013012012100 is an abundant number, since it is smaller than the sum of its proper divisors (2220925377660).

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

1013012012100 is a wasteful number, since it uses less digits than its factorization.

1013012012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106411 (or 106393 counting only the distinct ones).

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

Adding to 1013012012100 its reverse (12102103101), we get a palindrome (1025114115201).

The spelling of 1013012012100 in words is "one trillion, thirteen billion, twelve million, twelve thousand, one hundred".