11100102120 has 192 divisors, whose sum is σ = 37272240720. Its totient is φ = 2862784512.

The previous prime is 11100102113. The next prime is 11100102127. The reversal of 11100102120 is 2120100111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11100102113) and next prime (11100102127).

It can be written as a sum of positive squares in 8 ways, for example, as 7268244516 + 3831857604 = 85254^2 + 61902^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11100102127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2301952 + ... + 2306768.

Almost surely, 2^11100102120 is an apocalyptic number.

11100102120 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 11100102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18636120360).

11100102120 is an abundant number, since it is smaller than the sum of its proper divisors (26172138600).

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

11100102120 is a wasteful number, since it uses less digits than its factorization.

11100102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 5037 counting only the distinct ones).

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

Adding to 11100102120 its reverse (2120100111), we get a palindrome (13220202231).

The spelling of 11100102120 in words is "eleven billion, one hundred million, one hundred two thousand, one hundred twenty".