102010120212 has 288 divisors, whose sum is σ = 334092850560. Its totient is φ = 23796218880.

The previous prime is 102010120207. The next prime is 102010120217. The reversal of 102010120212 is 212021010201.

It is an interprime number because it is at equal distance from previous prime (102010120207) and next prime (102010120217).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010120217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3094714 + ... + 3127502.

It is an arithmetic number, because the mean of its divisors is an integer number (1160044620).

Almost surely, 2^102010120212 is an apocalyptic number.

102010120212 is a gapful number since it is divisible by the number (12) 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 102010120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167046425280).

102010120212 is an abundant number, since it is smaller than the sum of its proper divisors (232082730348).

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

102010120212 is a wasteful number, since it uses less digits than its factorization.

102010120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32871 (or 32862 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102010120212 its reverse (212021010201), we get a palindrome (314031130413).

It can be divided in two parts, 102010 and 120212, that added together give a palindrome (222222).

The spelling of 102010120212 in words is "one hundred two billion, ten million, one hundred twenty thousand, two hundred twelve".