10010210200120 has 128 divisors (see below), whose sum is σ = 25318179331200. Its totient is φ = 3534249590784.

The previous prime is 10010210200093. The next prime is 10010210200129. The reversal of 10010210200120 is 2100201201001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10010210200097 and 10010210200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010210200129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37769184 + ... + 38033296.

It is an arithmetic number, because the mean of its divisors is an integer number (197798276025).

Almost surely, 2^{10010210200120} is an apocalyptic number.

10010210200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010210200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12659089665600).

10010210200120 is an abundant number, since it is smaller than the sum of its proper divisors (15307969131080).

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

10010210200120 is a wasteful number, since it uses less digits than its factorization.

10010210200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267329 (or 267325 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10010210200120 its reverse (2100201201001), we get a palindrome (12110411401121).

The spelling of 10010210200120 in words is "ten trillion, ten billion, two hundred ten million, two hundred thousand, one hundred twenty".