20102000020102 has 288 divisors, whose sum is σ = 44667455374080. Its totient is φ = 6551084200320.

The previous prime is 20102000020061. The next prime is 20102000020139.

20102000020102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 382293649 + ... + 382346227.

It is an arithmetic number, because the mean of its divisors is an integer number (155095331160).

Almost surely, 2^{20102000020102} is an apocalyptic number.

20102000020102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20102000020102 is an abundant number, since it is smaller than the sum of its proper divisors (24565455353978).

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

20102000020102 is a wasteful number, since it uses less digits than its factorization.

20102000020102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52696 (or 52654 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 201020000 and 20102, that multiplied together give a square (4040904040000 = 2010200²).

The spelling of 20102000020102 in words is "twenty trillion, one hundred two billion, twenty thousand, one hundred two".