11201020102010 has 64 divisors (see below), whose sum is σ = 21266570148480. Its totient is φ = 4235883724800.

The previous prime is 11201020102009. The next prime is 11201020102037. The reversal of 11201020102010 is 1020102010211.

It is a super-2 number, since 2×11201020102010² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11201020101982 and 11201020102000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608708810 + ... + 608727210.

It is an arithmetic number, because the mean of its divisors is an integer number (332290158570).

Almost surely, 2^{11201020102010} is an apocalyptic number.

11201020102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11201020102010 is a deficient number, since it is larger than the sum of its proper divisors (10065550046470).

11201020102010 is a wasteful number, since it uses less digits than its factorization.

11201020102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24831.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11201020102010 its reverse (1020102010211), we get a palindrome (12221122112221).

The spelling of 11201020102010 in words is "eleven trillion, two hundred one billion, twenty million, one hundred two thousand, ten".