100102112122012 has 384 divisors, whose sum is σ = 253037078784000. Its totient is φ = 34051962470400.

The previous prime is 100102112121989. The next prime is 100102112122021. The reversal of 100102112122012 is 210221211201001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2389450138 + ... + 2389492030.

It is an arithmetic number, because the mean of its divisors is an integer number (658950726000).

Almost surely, 2^{100102112122012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102112122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126518539392000).

100102112122012 is an abundant number, since it is smaller than the sum of its proper divisors (152934966661988).

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

100102112122012 is a wasteful number, since it uses less digits than its factorization.

100102112122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42602 (or 42586 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100102112122012 its reverse (210221211201001), we get a palindrome (310323323323013).

The spelling of 100102112122012 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, twelve".