102120022001200 has 120 divisors (see below), whose sum is σ = 280450480655360. Its totient is φ = 35005326854400.

The previous prime is 102120022001071. The next prime is 102120022001209. The reversal of 102120022001200 is 2100220021201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102120022001209) 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, 9752071 + ... + 17301529.

Almost surely, 2^{102120022001200} is an apocalyptic number.

102120022001200 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 102120022001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140225240327680).

102120022001200 is an abundant number, since it is smaller than the sum of its proper divisors (178330458654160).

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

102120022001200 is a wasteful number, since it uses less digits than its factorization.

102120022001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7554315 (or 7554304 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102120022001200 its reverse (2100220021201), we get a palindrome (104220242022401).

The spelling of 102120022001200 in words is "one hundred two trillion, one hundred twenty billion, twenty-two million, one thousand, two hundred".