11211102010000 has 100 divisors (see below), whose sum is σ = 27411946091244. Its totient is φ = 4440040000000.

The previous prime is 11211102009979. The next prime is 11211102010027. The reversal of 11211102010000 is 1020111211.

It can be written as a sum of positive squares in 10 ways, for example, as 4094179934464 + 7116922075536 = 2023408^2 + 2667756^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4540051 + ... + 6560050.

Almost surely, 2^{11211102010000} is an apocalyptic number.

11211102010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211102010000 is an abundant number, since it is smaller than the sum of its proper divisors (16200844081244).

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

11211102010000 is a wasteful number, since it uses less digits than its factorization.

11211102010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100230 (or 11100209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11211102010000 its reverse (1020111211), we get a palindrome (11212122121211).

The spelling of 11211102010000 in words is "eleven trillion, two hundred eleven billion, one hundred two million, ten thousand".