10200001022100 has 216 divisors, whose sum is σ = 32886720849528. Its totient is φ = 2642352537600.

The previous prime is 10200001022059. The next prime is 10200001022129. The reversal of 10200001022100 is 122010000201.

It can be written as a sum of positive squares in 12 ways, for example, as 569741155344 + 9630259866756 = 754812^2 + 3103266^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 21106372 + ... + 21584228.

Almost surely, 2^{10200001022100} is an apocalyptic number.

10200001022100 is a gapful number since it is divisible by the number (10) 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 10200001022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443360424764).

10200001022100 is an abundant number, since it is smaller than the sum of its proper divisors (22686719827428).

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

10200001022100 is a wasteful number, since it uses less digits than its factorization.

10200001022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478555 (or 478545 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10200001022100 its reverse (122010000201), we get a palindrome (10322011022301).

The spelling of 10200001022100 in words is "ten trillion, two hundred billion, one million, twenty-two thousand, one hundred".