11201210011002 has 96 divisors (see below), whose sum is σ = 25004320076736. Its totient is φ = 3342256727040.

The previous prime is 11201210010919. The next prime is 11201210011063. The reversal of 11201210011002 is 20011001210211.

It is a super-2 number, since 2×11201210011002² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13469433 + ... + 14276835.

It is an arithmetic number, because the mean of its divisors is an integer number (260461667466).

Almost surely, 2^{11201210011002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201210011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12502160038368).

11201210011002 is an abundant number, since it is smaller than the sum of its proper divisors (13803110065734).

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

11201210011002 is a wasteful number, since it uses less digits than its factorization.

11201210011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807724 (or 807713 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11201210011002 its reverse (20011001210211), we get a palindrome (31212211221213).

The spelling of 11201210011002 in words is "eleven trillion, two hundred one billion, two hundred ten million, eleven thousand, two".