11101211011020 has 96 divisors (see below), whose sum is σ = 33480031757760. Its totient is φ = 2732147758080.

The previous prime is 11101211010997. The next prime is 11101211011043. The reversal of 11101211011020 is 2011011210111.

It is an interprime number because it is at equal distance from previous prime (11101211010997) and next prime (11101211011043).

It is a super-3 number, since 3×11101211011020³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11101211010987 and 11101211011005.

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, 3475386 + ... + 5854974.

It is an arithmetic number, because the mean of its divisors is an integer number (348750330810).

Almost surely, 2^{11101211011020} is an apocalyptic number.

11101211011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101211011020 is an abundant number, since it is smaller than the sum of its proper divisors (22378820746740).

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

11101211011020 is a wasteful number, since it uses less digits than its factorization.

11101211011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385595 (or 2385593 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11101211011020 its reverse (2011011210111), we get a palindrome (13112222221131).

The spelling of 11101211011020 in words is "eleven trillion, one hundred one billion, two hundred eleven million, eleven thousand, twenty".