102000000211200 has 1728 divisors, whose sum is σ = 471567459417600. Its totient is φ = 20995846963200.

The previous prime is 102000000211169. The next prime is 102000000211247. The reversal of 102000000211200 is 2112000000201.

It is a tau number, because it is divible by the number of its divisors (1728).

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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 644637696 + ... + 644795904.

Almost surely, 2^{102000000211200} is an apocalyptic number.

102000000211200 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 102000000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235783729708800).

102000000211200 is an abundant number, since it is smaller than the sum of its proper divisors (369567459206400).

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

102000000211200 is a wasteful number, since it uses less digits than its factorization.

102000000211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158305 (or 158280 counting only the distinct ones).

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

Adding to 102000000211200 its reverse (2112000000201), we get a palindrome (104112000211401).

The spelling of 102000000211200 in words is "one hundred two trillion, two hundred eleven thousand, two hundred".