11122010010000 has 150 divisors (see below), whose sum is σ = 38895275832270. Its totient is φ = 2965869312000.

The previous prime is 11122010009977. The next prime is 11122010010017. The reversal of 11122010010000 is 1001022111.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1279785388176 + 9842224621824 = 1131276^2 + 3137232^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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 29 ways as a sum of consecutive naturals, for example, 61698945 + ... + 61878944.

Almost surely, 2^{11122010010000} is an apocalyptic number.

11122010010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122010010000 is an abundant number, since it is smaller than the sum of its proper divisors (27773265822270).

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

11122010010000 is a wasteful number, since it uses less digits than its factorization.

11122010010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123577923 (or 123577899 counting only the distinct ones).

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

Adding to 11122010010000 its reverse (1001022111), we get a palindrome (11123011032111).

The spelling of 11122010010000 in words is "eleven trillion, one hundred twenty-two billion, ten million, ten thousand".