121201100101000 has 32 divisors (see below), whose sum is σ = 283610574238680. Its totient is φ = 48480440040000.

The previous prime is 121201100100961. The next prime is 121201100101007. The reversal of 121201100101000 is 101001102121.

It can be written as a sum of positive squares in 4 ways, for example, as 8683783474276 + 112517316626724 = 2946826^2 + 10607418^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (121201100101007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60600549051 + ... + 60600551050.

Almost surely, 2^{121201100101000} is an apocalyptic number.

121201100101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121201100101000 is an abundant number, since it is smaller than the sum of its proper divisors (162409474137680).

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

121201100101000 is a wasteful number, since it uses less digits than its factorization.

121201100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121201100122 (or 121201100108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121201100101000 its reverse (101001102121), we get a palindrome (121302101203121).

The spelling of 121201100101000 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred million, one hundred one thousand".