102012012112212 has 144 divisors (see below), whose sum is σ = 285249321826560. Its totient is φ = 30575100847104.

The previous prime is 102012012112201. The next prime is 102012012112223. The reversal of 102012012112212 is 212211210210201.

102012012112212 is a `hidden beast` number, since 10 + 20 + 1 + 201 + 211 + 221 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (102012012112201) and next prime (102012012112223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7181614 + ... + 15987482.

It is an arithmetic number, because the mean of its divisors is an integer number (1980898068240).

Almost surely, 2^{102012012112212} is an apocalyptic number.

102012012112212 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 102012012112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142624660913280).

102012012112212 is an abundant number, since it is smaller than the sum of its proper divisors (183237309714348).

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

102012012112212 is a wasteful number, since it uses less digits than its factorization.

102012012112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8806742 (or 8806737 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102012012112212 its reverse (212211210210201), we get a palindrome (314223222322413).

The spelling of 102012012112212 in words is "one hundred two trillion, twelve billion, twelve million, one hundred twelve thousand, two hundred twelve".