102012121001200 has 90 divisors (see below), whose sum is σ = 250409626628936. Its totient is φ = 39936659790720.

The previous prime is 102012121001191. The next prime is 102012121001209. The reversal of 102012121001200 is 2100121210201.

It is an interprime number because it is at equal distance from previous prime (102012121001191) and next prime (102012121001209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012121001209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56841684 + ... + 58608883.

Almost surely, 2^{102012121001200} is an apocalyptic number.

102012121001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012121001200 is an abundant number, since it is smaller than the sum of its proper divisors (148397505627736).

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

102012121001200 is a wasteful number, since it uses less digits than its factorization.

102012121001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115450679 (or 115450621 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102012121001200 its reverse (2100121210201), we get a palindrome (104112242211401).

The spelling of 102012121001200 in words is "one hundred two trillion, twelve billion, one hundred twenty-one million, one thousand, two hundred".