11201101122000 has 160 divisors (see below), whose sum is σ = 38013000405120. Its totient is φ = 2829751833600.

The previous prime is 11201101121993. The next prime is 11201101122011. The reversal of 11201101122000 is 22110110211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49013637 + ... + 49241636.

It is an arithmetic number, because the mean of its divisors is an integer number (237581252532).

Almost surely, 2^{11201101122000} is an apocalyptic number.

11201101122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201101122000 is an abundant number, since it is smaller than the sum of its proper divisors (26811899283120).

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

11201101122000 is a wasteful number, since it uses less digits than its factorization.

11201101122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98255318 (or 98255302 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11201101122000 its reverse (22110110211), we get a palindrome (11223211232211).

The spelling of 11201101122000 in words is "eleven trillion, two hundred one billion, one hundred one million, one hundred twenty-two thousand".