10102101012200 has 192 divisors, whose sum is σ = 24577560268800. Its totient is φ = 3857182156800.

The previous prime is 10102101012173. The next prime is 10102101012209. The reversal of 10102101012200 is 221010120101.

It is not an unprimeable number, because it can be changed into a prime (10102101012209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 150669884 + ... + 150736916.

It is an arithmetic number, because the mean of its divisors is an integer number (128008126400).

Almost surely, 2^{10102101012200} is an apocalyptic number.

10102101012200 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 10102101012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288780134400).

10102101012200 is an abundant number, since it is smaller than the sum of its proper divisors (14475459256600).

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

10102101012200 is a wasteful number, since it uses less digits than its factorization.

10102101012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67412 (or 67403 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10102101012200 its reverse (221010120101), we get a palindrome (10323111132301).

The spelling of 10102101012200 in words is "ten trillion, one hundred two billion, one hundred one million, twelve thousand, two hundred".