9090910101000 has 512 divisors, whose sum is σ = 35852623672320. Its totient is φ = 1866240000000.

The previous prime is 9090910100981. The next prime is 9090910101023. The reversal of 9090910101000 is 1010190909.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 9651000 + ... + 10551000.

It is an arithmetic number, because the mean of its divisors is an integer number (70024655610).

Almost surely, 2^{9090910101000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9090910101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926311836160).

9090910101000 is an abundant number, since it is smaller than the sum of its proper divisors (26761713571320).

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

9090910101000 is a wasteful number, since it uses less digits than its factorization.

9090910101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900082 (or 900068 counting only the distinct ones).

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

Adding to 9090910101000 its reverse (1010190909), we get a palindrome (9091920291909).

The spelling of 9090910101000 in words is "nine trillion, ninety billion, nine hundred ten million, one hundred one thousand".