11200102111020 has 384 divisors, whose sum is σ = 33859804446720. Its totient is φ = 2761425838080.

The previous prime is 11200102111019. The next prime is 11200102111021. The reversal of 11200102111020 is 2011120100211.

It is an interprime number because it is at equal distance from previous prime (11200102111019) and next prime (11200102111021).

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 = 11200102110987 and 11200102111005.

It is not an unprimeable number, because it can be changed into a prime (11200102111021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 670535989 + ... + 670552691.

It is an arithmetic number, because the mean of its divisors is an integer number (88176574080).

Almost surely, 2^{11200102111020} is an apocalyptic number.

11200102111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200102111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16929902223360).

11200102111020 is an abundant number, since it is smaller than the sum of its proper divisors (22659702335700).

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

11200102111020 is a wasteful number, since it uses less digits than its factorization.

11200102111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16985 (or 16983 counting only the distinct ones).

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

Adding to 11200102111020 its reverse (2011120100211), we get a palindrome (13211222211231).

The spelling of 11200102111020 in words is "eleven trillion, two hundred billion, one hundred two million, one hundred eleven thousand, twenty".