11211000102000 has 160 divisors (see below), whose sum is σ = 40160293892160. Its totient is φ = 2989600012800.

The previous prime is 11211000101971. The next prime is 11211000102007. The reversal of 11211000102000 is 20100011211.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211000102007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103751557 + ... + 103859556.

It is an arithmetic number, because the mean of its divisors is an integer number (251001836826).

Almost surely, 2^{11211000102000} is an apocalyptic number.

11211000102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211000102000 is an abundant number, since it is smaller than the sum of its proper divisors (28949293790160).

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

11211000102000 is a wasteful number, since it uses less digits than its factorization.

11211000102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207611145 (or 207611123 counting only the distinct ones).

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

Adding to 11211000102000 its reverse (20100011211), we get a palindrome (11231100113211).

The spelling of 11211000102000 in words is "eleven trillion, two hundred eleven billion, one hundred two thousand".