1010100909090 has 256 divisors, whose sum is σ = 3197561536512. Its totient is φ = 198344070144.

The previous prime is 1010100909089. The next prime is 1010100909121. The reversal of 1010100909090 is 909090010101.

1010100909090 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 (30).

1010100909090 is a modest number, since divided by 909090 gives 101010 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2105839 + ... + 2540621.

It is an arithmetic number, because the mean of its divisors is an integer number (12490474752).

Almost surely, 2^{1010100909090} is an apocalyptic number.

1010100909090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010100909090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598780768256).

1010100909090 is an abundant number, since it is smaller than the sum of its proper divisors (2187460627422).

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

1010100909090 is a wasteful number, since it uses less digits than its factorization.

1010100909090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434873.

The product of its (nonzero) digits is 729, while the sum is 30.

Adding to 1010100909090 its reverse (909090010101), we get a palindrome (1919190919191).

The spelling of 1010100909090 in words is "one trillion, ten billion, one hundred million, nine hundred nine thousand, ninety".