11121001212100 has 54 divisors (see below), whose sum is σ = 26131720698510. Its totient is φ = 4106215825920.

The previous prime is 11121001212059. The next prime is 11121001212121. The reversal of 11121001212100 is 121210012111.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 4171324233924 + 6949676978176 = 2042382^2 + 2636224^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 329006805 + ... + 329040604.

Almost surely, 2^{11121001212100} is an apocalyptic number.

11121001212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121001212100 is an abundant number, since it is smaller than the sum of its proper divisors (15010719486410).

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

11121001212100 is a wasteful number, since it uses less digits than its factorization.

11121001212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658047449 (or 658047429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11121001212100 its reverse (121210012111), we get a palindrome (11242211224211).

The spelling of 11121001212100 in words is "eleven trillion, one hundred twenty-one billion, one million, two hundred twelve thousand, one hundred".