11102100010002 has 96 divisors (see below), whose sum is σ = 25411875652800. Its totient is φ = 3493289897856.

The previous prime is 11102100009953. The next prime is 11102100010009. The reversal of 11102100010002 is 20001000120111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11102100010009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 912770373 + ... + 912782535.

It is an arithmetic number, because the mean of its divisors is an integer number (264707038050).

Almost surely, 2^{11102100010002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102100010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705937826400).

11102100010002 is an abundant number, since it is smaller than the sum of its proper divisors (14309775642798).

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

11102100010002 is a wasteful number, since it uses less digits than its factorization.

11102100010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21592 (or 21589 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11102100010002 its reverse (20001000120111), we get a palindrome (31103100130113).

The spelling of 11102100010002 in words is "eleven trillion, one hundred two billion, one hundred million, ten thousand, two".