102001000021200 has 600 divisors, whose sum is σ = 432796170343680. Its totient is φ = 22510564070400.

The previous prime is 102001000021187. The next prime is 102001000021201. The reversal of 102001000021200 is 2120000100201.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001000021201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1176936 + ... + 14331335.

Almost surely, 2^{102001000021200} is an apocalyptic number.

102001000021200 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 102001000021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216398085171840).

102001000021200 is an abundant number, since it is smaller than the sum of its proper divisors (330795170322480).

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

102001000021200 is a wasteful number, since it uses less digits than its factorization.

102001000021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15508337 (or 15508317 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102001000021200 its reverse (2120000100201), we get a palindrome (104121000121401).

The spelling of 102001000021200 in words is "one hundred two trillion, one billion, twenty-one thousand, two hundred".