11102514101952 has 672 divisors, whose sum is σ = 38445814278144. Its totient is φ = 2799459532800.

The previous prime is 11102514101947. The next prime is 11102514101963. The reversal of 11102514101952 is 25910141520111.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314670552 + ... + 314705832.

It is an arithmetic number, because the mean of its divisors is an integer number (57211033152).

Almost surely, 2^{11102514101952} is an apocalyptic number.

11102514101952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102514101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19222907139072).

11102514101952 is an abundant number, since it is smaller than the sum of its proper divisors (27343300176192).

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

11102514101952 is a wasteful number, since it uses less digits than its factorization.

11102514101952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35437 (or 35420 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 33.

The spelling of 11102514101952 in words is "eleven trillion, one hundred two billion, five hundred fourteen million, one hundred one thousand, nine hundred fifty-two".