102212100030 has 96 divisors (see below), whose sum is σ = 254727287136. Its totient is φ = 26245472256.

The previous prime is 102212099987. The next prime is 102212100037. The reversal of 102212100030 is 30001212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212099979 and 102212100015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212100037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3970962 + ... + 3996618.

It is an arithmetic number, because the mean of its divisors is an integer number (2653409241).

Almost surely, 2^102212100030 is an apocalyptic number.

102212100030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212100030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127363643568).

102212100030 is an abundant number, since it is smaller than the sum of its proper divisors (152515187106).

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

102212100030 is a wasteful number, since it uses less digits than its factorization.

102212100030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25838 (or 25801 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102212100030 its reverse (30001212201), we get a palindrome (132213312231).

The spelling of 102212100030 in words is "one hundred two billion, two hundred twelve million, one hundred thousand, thirty".