102100212 has 18 divisors (see below), whose sum is σ = 258086738. Its totient is φ = 34033392.

The previous prime is 102100211. The next prime is 102100223. The reversal of 102100212 is 212001201.

It can be written as a sum of positive squares in only one way, i.e., 86936976 + 15163236 = 9324^2 + 3894^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 102100194 and 102100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1418023 + ... + 1418094.

Almost surely, 2^102100212 is an apocalyptic number.

102100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102100212 is an abundant number, since it is smaller than the sum of its proper divisors (155986526).

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

102100212 is a wasteful number, since it uses less digits than its factorization.

102100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836127 (or 2836122 counting only the distinct ones).

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

The square root of 102100212 is about 10104.4649536727. The cubic root of 102100212 is about 467.3858369374.

Adding to 102100212 its reverse (212001201), we get a palindrome (314101413).

The spelling of 102100212 in words is "one hundred two million, one hundred thousand, two hundred twelve".