12011012100 has 180 divisors, whose sum is σ = 39038907600. Its totient is φ = 3194389440.

The previous prime is 12011012071. The next prime is 12011012129. The reversal of 12011012100 is 121011021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12011012071) and next prime (12011012129).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3392131 + ... + 3395669.

It is an arithmetic number, because the mean of its divisors is an integer number (216882820).

Almost surely, 2^12011012100 is an apocalyptic number.

12011012100 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 12011012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19519453800).

12011012100 is an abundant number, since it is smaller than the sum of its proper divisors (27027895500).

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

12011012100 is a wasteful number, since it uses less digits than its factorization.

12011012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3968 counting only the distinct ones).

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

Adding to 12011012100 its reverse (121011021), we get a palindrome (12132023121).

The spelling of 12011012100 in words is "twelve billion, eleven million, twelve thousand, one hundred".