102001002021200 has 120 divisors (see below), whose sum is σ = 246425324957280. Its totient is φ = 40573082995200.

The previous prime is 102001002021187. The next prime is 102001002021203. The reversal of 102001002021200 is 2120200100201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001002021203) 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, 75079955 + ... + 76426445.

It is an arithmetic number, because the mean of its divisors is an integer number (2053544374644).

Almost surely, 2^{102001002021200} is an apocalyptic number.

102001002021200 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 102001002021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123212662478640).

102001002021200 is an abundant number, since it is smaller than the sum of its proper divisors (144424322936080).

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

102001002021200 is a wasteful number, since it uses less digits than its factorization.

102001002021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347565 (or 1347554 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102001002021200 its reverse (2120200100201), we get a palindrome (104121202121401).

The spelling of 102001002021200 in words is "one hundred two trillion, one billion, two million, twenty-one thousand, two hundred".