121102201100012 has 192 divisors, whose sum is σ = 253554334193664. Its totient is φ = 49986573557760.

The previous prime is 121102201100011. The next prime is 121102201100021. The reversal of 121102201100012 is 210001102201121.

It is a super-2 number, since 2×121102201100012² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121102201100012.

It is not an unprimeable number, because it can be changed into a prime (121102201100011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5679405983 + ... + 5679427305.

It is an arithmetic number, because the mean of its divisors is an integer number (1320595490592).

Almost surely, 2^{121102201100012} is an apocalyptic number.

It is an amenable number.

121102201100012 is an abundant number, since it is smaller than the sum of its proper divisors (132452133093652).

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

121102201100012 is a wasteful number, since it uses less digits than its factorization.

121102201100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23688 (or 23686 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121102201100012 its reverse (210001102201121), we get a palindrome (331103303301133).

The spelling of 121102201100012 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred one million, one hundred thousand, twelve".