10200210122112 has 64 divisors (see below), whose sum is σ = 27103110988800. Its totient is φ = 3398965369344.

The previous prime is 10200210122071. The next prime is 10200210122129. The reversal of 10200210122112 is 21122101200201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10200210122112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10200210122091 and 10200210122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3131248 + ... + 5495919.

It is an arithmetic number, because the mean of its divisors is an integer number (423486109200).

Almost surely, 2^{10200210122112} is an apocalyptic number.

10200210122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10200210122112 is an abundant number, since it is smaller than the sum of its proper divisors (16902900866688).

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

10200210122112 is an equidigital number, since it uses as much as digits as its factorization.

10200210122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8630263 (or 8630251 counting only the distinct ones).

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

Adding to 10200210122112 its reverse (21122101200201), we get a palindrome (31322311322313).

The spelling of 10200210122112 in words is "ten trillion, two hundred billion, two hundred ten million, one hundred twenty-two thousand, one hundred twelve".