11010122001000 has 192 divisors, whose sum is σ = 38121877357200. Its totient is φ = 2864421888000.

The previous prime is 11010122000953. The next prime is 11010122001013. The reversal of 11010122001000 is 10022101011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1747266272964 + 9262855728036 = 1321842^2 + 3043494^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14549865 + ... + 15287864.

Almost surely, 2^{11010122001000} is an apocalyptic number.

11010122001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010122001000 is an abundant number, since it is smaller than the sum of its proper divisors (27111755356200).

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

11010122001000 is a wasteful number, since it uses less digits than its factorization.

11010122001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29837797 (or 29837780 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11010122001000 its reverse (10022101011), we get a palindrome (11020144102011).

The spelling of 11010122001000 in words is "eleven trillion, ten billion, one hundred twenty-two million, one thousand".