10022001111200 has 72 divisors (see below), whose sum is σ = 26348226410268. Its totient is φ = 3700431175680.

The previous prime is 10022001111197. The next prime is 10022001111203. The reversal of 10022001111200 is 211110022001.

It is an interprime number because it is at equal distance from previous prime (10022001111197) and next prime (10022001111203).

It can be written as a sum of positive squares in 6 ways, for example, as 2267758904464 + 7754242206736 = 1505908^2 + 2784644^2 .

It is a super-3 number, since 3×10022001111200³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10022001111203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481816577 + ... + 481837376.

Almost surely, 2^{10022001111200} is an apocalyptic number.

10022001111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022001111200 is an abundant number, since it is smaller than the sum of its proper divisors (16326225299068).

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

10022001111200 is a wasteful number, since it uses less digits than its factorization.

10022001111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963653986 (or 963653973 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10022001111200 its reverse (211110022001), we get a palindrome (10233111133201).

The spelling of 10022001111200 in words is "ten trillion, twenty-two billion, one million, one hundred eleven thousand, two hundred".