10122022101200 has 60 divisors (see below), whose sum is σ = 24339069068928. Its totient is φ = 4045327305600.

The previous prime is 10122022101179. The next prime is 10122022101329. The reversal of 10122022101200 is 210122022101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10414016 + ... + 11344415.

Almost surely, 2^{10122022101200} is an apocalyptic number.

10122022101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122022101200 is an abundant number, since it is smaller than the sum of its proper divisors (14217046967728).

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

10122022101200 is a wasteful number, since it uses less digits than its factorization.

10122022101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21759612 (or 21759601 counting only the distinct ones).

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

Adding to 10122022101200 its reverse (210122022101), we get a palindrome (10332144123301).

The spelling of 10122022101200 in words is "ten trillion, one hundred twenty-two billion, twenty-two million, one hundred one thousand, two hundred".