1010101010100 has 576 divisors, whose sum is σ = 3731164856832. Its totient is φ = 205286400000.

The previous prime is 1010101010071. The next prime is 1010101010111. The reversal of 1010101010100 is 10101010101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102015150 + ... + 102025050.

Almost surely, 2^{1010101010100} is an apocalyptic number.

1010101010100 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 1010101010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865582428416).

1010101010100 is an abundant number, since it is smaller than the sum of its proper divisors (2721063846732).

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

1010101010100 is a wasteful number, since it uses less digits than its factorization.

1010101010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10076 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1010101010100 its reverse (10101010101), we get a palindrome (1020202020201).

Subtracting from 1010101010100 its reverse (10101010101), we obtain a palindrome (999999999999).

1010101010100 divided by its reverse (10101010101) gives a square (100 = 10²).

The spelling of 1010101010100 in words is "one trillion, ten billion, one hundred one million, ten thousand, one hundred".