10210122121200 has 60 divisors (see below), whose sum is σ = 32706424532088. Its totient is φ = 2722699232000.

The previous prime is 10210122121189. The next prime is 10210122121201. The reversal of 10210122121200 is 212122101201.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10210122121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210122121201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4254216351 + ... + 4254218750.

Almost surely, 2^{10210122121200} is an apocalyptic number.

10210122121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210122121200 is an abundant number, since it is smaller than the sum of its proper divisors (22496302410888).

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

10210122121200 is a wasteful number, since it uses less digits than its factorization.

10210122121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508435122 (or 8508435111 counting only the distinct ones).

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

Adding to 10210122121200 its reverse (212122101201), we get a palindrome (10422244222401).

The spelling of 10210122121200 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".