102012020203200 has 168 divisors, whose sum is σ = 334750308513792. Its totient is φ = 27197851284480.

The previous prime is 102012020203153. The next prime is 102012020203229. The reversal of 102012020203200 is 2302020210201.

It is a happy number.

It is a super-3 number, since 3×102012020203200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102012020203200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22328697 + ... + 26506503.

Almost surely, 2^{102012020203200} is an apocalyptic number.

102012020203200 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 102012020203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167375154256896).

102012020203200 is an abundant number, since it is smaller than the sum of its proper divisors (232738288310592).

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

102012020203200 is a wasteful number, since it uses less digits than its factorization.

102012020203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182919 (or 4182904 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102012020203200 its reverse (2302020210201), we get a palindrome (104314040413401).

The spelling of 102012020203200 in words is "one hundred two trillion, twelve billion, twenty million, two hundred three thousand, two hundred".