11102121121100 has 72 divisors (see below), whose sum is σ = 25756414171488. Its totient is φ = 4139043148800.

The previous prime is 11102121121097. The next prime is 11102121121103. The reversal of 11102121121100 is 112112120111.

11102121121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11102121121097) and next prime (11102121121103).

It is not an unprimeable number, because it can be changed into a prime (11102121121103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31527131 + ... + 31877330.

It is an arithmetic number, because the mean of its divisors is an integer number (357727974604).

Almost surely, 2^{11102121121100} is an apocalyptic number.

11102121121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102121121100 is an abundant number, since it is smaller than the sum of its proper divisors (14654293050388).

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

11102121121100 is a wasteful number, since it uses less digits than its factorization.

11102121121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63404595 (or 63404588 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11102121121100 its reverse (112112120111), we get a palindrome (11214233241211).

The spelling of 11102121121100 in words is "eleven trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred".