102212000100 has 108 divisors (see below), whose sum is σ = 366146120704. Its totient is φ = 23362741440.

The previous prime is 102212000089. The next prime is 102212000201. The reversal of 102212000100 is 1000212201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8105764 + ... + 8118363.

Almost surely, 2^102212000100 is an apocalyptic number.

102212000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212000100 is an abundant number, since it is smaller than the sum of its proper divisors (263934120604).

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

102212000100 is a wasteful number, since it uses less digits than its factorization.

102212000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16224154 (or 16224144 counting only the distinct ones).

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

Adding to 102212000100 its reverse (1000212201), we get a palindrome (103212212301).

It can be divided in two parts, 102212000 and 100, that added together give a square (102212100 = 10110²).

The spelling of 102212000100 in words is "one hundred two billion, two hundred twelve million, one hundred", and thus it is an aban number.