102812001600 has 672 divisors, whose sum is σ = 445306070016. Its totient is φ = 20105625600.

The previous prime is 102812001599. The next prime is 102812001647. The reversal of 102812001600 is 6100218201.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6275019 + ... + 6291381.

Almost surely, 2^102812001600 is an apocalyptic number.

102812001600 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 102812001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222653035008).

102812001600 is an abundant number, since it is smaller than the sum of its proper divisors (342494068416).

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

102812001600 is a wasteful number, since it uses less digits than its factorization.

102812001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16423 (or 16408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

102812001600 divided by its product of nonzero digits (192) gives a triangular number (535479175 = T₃₂₇₂₅).

Adding to 102812001600 its reverse (6100218201), we get a palindrome (108912219801).

The spelling of 102812001600 in words is "one hundred two billion, eight hundred twelve million, one thousand, six hundred".