20100202102200 has 768 divisors, whose sum is σ = 74070802022400. Its totient is φ = 4467089088000.

The previous prime is 20100202102171. The next prime is 20100202102223. The reversal of 20100202102200 is 220120200102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1403344239 + ... + 1403358561.

It is an arithmetic number, because the mean of its divisors is an integer number (96446356800).

Almost surely, 2^{20100202102200} is an apocalyptic number.

20100202102200 is a gapful number since it is divisible by the number (20) 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 20100202102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37035401011200).

20100202102200 is an abundant number, since it is smaller than the sum of its proper divisors (53970599920200).

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

20100202102200 is a wasteful number, since it uses less digits than its factorization.

20100202102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14441 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20100202102200 its reverse (220120200102), we get a palindrome (20320322302302).

The spelling of 20100202102200 in words is "twenty trillion, one hundred billion, two hundred two million, one hundred two thousand, two hundred".