10021110000200 has 192 divisors, whose sum is σ = 25180198520400. Its totient is φ = 3687019315200.

The previous prime is 10021110000173. The next prime is 10021110000217. The reversal of 10021110000200 is 200001112001.

It can be written as a sum of positive squares in 24 ways, for example, as 3801103928164 + 6220006072036 = 1949642^2 + 2493994^2 .

It is a super-2 number, since 2×10021110000200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884548136 + ... + 884559464.

Almost surely, 2^{10021110000200} is an apocalyptic number.

10021110000200 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 10021110000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12590099260200).

10021110000200 is an abundant number, since it is smaller than the sum of its proper divisors (15159088520200).

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

10021110000200 is a wasteful number, since it uses less digits than its factorization.

10021110000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12532 (or 12523 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10021110000200 its reverse (200001112001), we get a palindrome (10221111112201).

The spelling of 10021110000200 in words is "ten trillion, twenty-one billion, one hundred ten million, two hundred", and thus it is an aban number.