10201122100212 has 24 divisors (see below), whose sum is σ = 23879153992512. Its totient is φ = 3389440353600.

The previous prime is 10201122100207. The next prime is 10201122100217. The reversal of 10201122100212 is 21200122110201.

It is an interprime number because it is at equal distance from previous prime (10201122100207) and next prime (10201122100217).

It is a junction number, because it is equal to n+sod(n) for n = 10201122100191 and 10201122100200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201122100217) 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 7 ways as a sum of consecutive naturals, for example, 1366706089 + ... + 1366713552.

It is an arithmetic number, because the mean of its divisors is an integer number (994964749688).

Almost surely, 2^{10201122100212} is an apocalyptic number.

10201122100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201122100212 is an abundant number, since it is smaller than the sum of its proper divisors (13678031892300).

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

10201122100212 is a wasteful number, since it uses less digits than its factorization.

10201122100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733419959 (or 2733419957 counting only the distinct ones).

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

Adding to 10201122100212 its reverse (21200122110201), we get a palindrome (31401244210413).

The spelling of 10201122100212 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, one hundred thousand, two hundred twelve".