10102101101200 has 60 divisors (see below), whose sum is σ = 24270831168948. Its totient is φ = 4040751654400.

The previous prime is 10102101101129. The next prime is 10102101101203. The reversal of 10102101101200 is 210110120101.

It can be written as a sum of positive squares in 6 ways, for example, as 257466937744 + 9844634163456 = 507412^2 + 3137616^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10102101101203) 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, 19755954 + ... + 20260846.

Almost surely, 2^{10102101101200} is an apocalyptic number.

10102101101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102101101200 is an abundant number, since it is smaller than the sum of its proper divisors (14168730067748).

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

10102101101200 is a wasteful number, since it uses less digits than its factorization.

10102101101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554932 (or 554921 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10102101101200 its reverse (210110120101), we get a palindrome (10312211221301).

The spelling of 10102101101200 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred one thousand, two hundred".