12011102100 has 108 divisors (see below), whose sum is σ = 37708149024. Its totient is φ = 3197855040.

The previous prime is 12011102099. The next prime is 12011102101. The reversal of 12011102100 is 120111021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12011102099) and next prime (12011102101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011102101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 571987 + ... + 592613.

It is an arithmetic number, because the mean of its divisors is an integer number (349149528).

Almost surely, 2^12011102100 is an apocalyptic number.

12011102100 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 12011102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18854074512).

12011102100 is an abundant number, since it is smaller than the sum of its proper divisors (25697046924).

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

12011102100 is a wasteful number, since it uses less digits than its factorization.

12011102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21294 (or 21284 counting only the distinct ones).

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

Adding to 12011102100 its reverse (120111021), we get a palindrome (12131213121).

12011102100 divided by its reverse (120111021) gives a square (100 = 10²).

The spelling of 12011102100 in words is "twelve billion, eleven million, one hundred two thousand, one hundred".