10102101102012 has 96 divisors (see below), whose sum is σ = 24655395824640. Its totient is φ = 3213242081280.

The previous prime is 10102101102011. The next prime is 10102101102029. The reversal of 10102101102012 is 21020110120101.

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 (10102101102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373294962 + ... + 373322022.

It is an arithmetic number, because the mean of its divisors is an integer number (256827039840).

Almost surely, 2^{10102101102012} is an apocalyptic number.

10102101102012 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 10102101102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12327697912320).

10102101102012 is an abundant number, since it is smaller than the sum of its proper divisors (14553294722628).

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

10102101102012 is a wasteful number, since it uses less digits than its factorization.

10102101102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30283 (or 30281 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102101102012 its reverse (21020110120101), we get a palindrome (31122211222113).

The spelling of 10102101102012 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred two thousand, twelve".