102000100212 has 36 divisors (see below), whose sum is σ = 258124347936. Its totient is φ = 33961691280.

The previous prime is 102000100187. The next prime is 102000100247. The reversal of 102000100212 is 212001000201.

102000100212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×102000100212³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102000100194 and 102000100203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1565214 + ... + 1629077.

It is an arithmetic number, because the mean of its divisors is an integer number (7170120776).

Almost surely, 2^102000100212 is an apocalyptic number.

102000100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102000100212 is an abundant number, since it is smaller than the sum of its proper divisors (156124247724).

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

102000100212 is a wasteful number, since it uses less digits than its factorization.

102000100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195188 (or 3195183 counting only the distinct ones).

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

Adding to 102000100212 its reverse (212001000201), we get a palindrome (314001100413).

The spelling of 102000100212 in words is "one hundred two billion, one hundred thousand, two hundred twelve".