11200001011020 has 72 divisors (see below), whose sum is σ = 35231608133904. Its totient is φ = 2986666934976.

The previous prime is 11200001010973. The next prime is 11200001011027. The reversal of 11200001011020 is 2011010000211.

It is a happy number.

11200001011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11200001011020² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11200001010993 and 11200001011011.

It is not an unprimeable number, because it can be changed into a prime (11200001011027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152258619 + ... + 1152268338.

Almost surely, 2^{11200001011020} is an apocalyptic number.

11200001011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200001011020 is an abundant number, since it is smaller than the sum of its proper divisors (24031607122884).

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

11200001011020 is a wasteful number, since it uses less digits than its factorization.

11200001011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304526981 (or 2304526967 counting only the distinct ones).

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

Adding to 11200001011020 its reverse (2011010000211), we get a palindrome (13211011011231).

The spelling of 11200001011020 in words is "eleven trillion, two hundred billion, one million, eleven thousand, twenty".