202200100212011 has 32 divisors (see below), whose sum is σ = 235340523567360. Its totient is φ = 171689278924800.

The previous prime is 202200100211969. The next prime is 202200100212053. The reversal of 202200100212011 is 110212001002202.

It is an interprime number because it is at equal distance from previous prime (202200100211969) and next prime (202200100212053).

It is a cyclic number.

It is not a de Polignac number, because 202200100212011 - 2¹⁰ = 202200100210987 is a prime.

It is a super-4 number, since 4×202200100212011⁴ (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202200100212311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6307475 + ... + 21075683.

It is an arithmetic number, because the mean of its divisors is an integer number (7354391361480).

Almost surely, 2^{202200100212011} is an apocalyptic number.

202200100212011 is a deficient number, since it is larger than the sum of its proper divisors (33140423355349).

202200100212011 is a wasteful number, since it uses less digits than its factorization.

202200100212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14768795.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202200100212011 its reverse (110212001002202), we get a palindrome (312412101214213).

The spelling of 202200100212011 in words is "two hundred two trillion, two hundred billion, one hundred million, two hundred twelve thousand, eleven".