11201201121012 has 48 divisors (see below), whose sum is σ = 29870694346752. Its totient is φ = 3200254817760.

The previous prime is 11201201121001. The next prime is 11201201121023. The reversal of 11201201121012 is 21012110210211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11201201121001) and next prime (11201201121023).

It is a junction number, because it is equal to n+sod(n) for n = 11201201120982 and 11201201121000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1250437 + ... + 4895507.

It is an arithmetic number, because the mean of its divisors is an integer number (622306132224).

Almost surely, 2^{11201201121012} is an apocalyptic number.

11201201121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11201201121012 is an abundant number, since it is smaller than the sum of its proper divisors (18669493225740).

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

11201201121012 is a wasteful number, since it uses less digits than its factorization.

11201201121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681668 (or 3681666 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11201201121012 its reverse (21012110210211), we get a palindrome (32213311331223).

The spelling of 11201201121012 in words is "eleven trillion, two hundred one billion, two hundred one million, one hundred twenty-one thousand, twelve".