12101211021100 has 72 divisors (see below), whose sum is σ = 26369020274688. Its totient is φ = 4820326920000.

The previous prime is 12101211021059. The next prime is 12101211021101. The reversal of 12101211021100 is 112011210121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12101211021101) 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, 148727029 + ... + 148808371.

It is an arithmetic number, because the mean of its divisors is an integer number (366236392704).

Almost surely, 2^{12101211021100} is an apocalyptic number.

12101211021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101211021100 is an abundant number, since it is smaller than the sum of its proper divisors (14267809253588).

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

12101211021100 is a wasteful number, since it uses less digits than its factorization.

12101211021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87535 (or 87528 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12101211021100 its reverse (112011210121), we get a palindrome (12213222231221).

The spelling of 12101211021100 in words is "twelve trillion, one hundred one billion, two hundred eleven million, twenty-one thousand, one hundred".