10200221100000 has 216 divisors, whose sum is σ = 36256281090120. Its totient is φ = 2720058720000.

The previous prime is 10200221099993. The next prime is 10200221100007. The reversal of 10200221100000 is 112200201.

It is an interprime number because it is at equal distance from previous prime (10200221099993) and next prime (10200221100007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200221100007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4766790 + ... + 6566789.

It is an arithmetic number, because the mean of its divisors is an integer number (167853153195).

Almost surely, 2^{10200221100000} is an apocalyptic number.

10200221100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200221100000 is an abundant number, since it is smaller than the sum of its proper divisors (26056059990120).

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

10200221100000 is an equidigital number, since it uses as much as digits as its factorization.

10200221100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333620 (or 11333589 counting only the distinct ones).

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

Adding to 10200221100000 its reverse (112200201), we get a palindrome (10200333300201).

The spelling of 10200221100000 in words is "ten trillion, two hundred billion, two hundred twenty-one million, one hundred thousand".