1010102112006 has 96 divisors (see below), whose sum is σ = 2236561279488. Its totient is φ = 303853080960.

The previous prime is 1010102111987. The next prime is 1010102112017. The reversal of 1010102112006 is 6002112010101.

It is a happy number.

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, 45120936 + ... + 45143316.

It is an arithmetic number, because the mean of its divisors is an integer number (23297513328).

Almost surely, 2^{1010102112006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010102112006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118280639744).

1010102112006 is an abundant number, since it is smaller than the sum of its proper divisors (1226459167482).

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

1010102112006 is a wasteful number, since it uses less digits than its factorization.

1010102112006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23406 (or 23393 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1010102112006 its reverse (6002112010101), we get a palindrome (7012214122107).

The spelling of 1010102112006 in words is "one trillion, ten billion, one hundred two million, one hundred twelve thousand, six".