10200012221121 has 48 divisors (see below), whose sum is σ = 14590827276480. Its totient is φ = 6333413954560.

The previous prime is 10200012221117. The next prime is 10200012221131. The reversal of 10200012221121 is 12112221000201.

It is not a de Polignac number, because 10200012221121 - 2² = 10200012221117 is a prime.

It is a super-2 number, since 2×10200012221121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10200012221121.

It is not an unprimeable number, because it can be changed into a prime (10200012221131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8652466 + ... + 9760388.

It is an arithmetic number, because the mean of its divisors is an integer number (303975568260).

Almost surely, 2^{10200012221121} is an apocalyptic number.

It is an amenable number.

10200012221121 is a deficient number, since it is larger than the sum of its proper divisors (4390815055359).

10200012221121 is a wasteful number, since it uses less digits than its factorization.

10200012221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108114 (or 1108085 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10200012221121 its reverse (12112221000201), we get a palindrome (22312233221322).

The spelling of 10200012221121 in words is "ten trillion, two hundred billion, twelve million, two hundred twenty-one thousand, one hundred twenty-one".