10102100201200 has 120 divisors (see below), whose sum is σ = 28693945925280. Its totient is φ = 3344143488000.

The previous prime is 10102100201173. The next prime is 10102100201227. The reversal of 10102100201200 is 210200120101.

It is an interprime number because it is at equal distance from previous prime (10102100201173) and next prime (10102100201227).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62123851 + ... + 62286250.

It is an arithmetic number, because the mean of its divisors is an integer number (239116216044).

Almost surely, 2^{10102100201200} is an apocalyptic number.

10102100201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102100201200 is an abundant number, since it is smaller than the sum of its proper divisors (18591845724080).

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

10102100201200 is a wasteful number, since it uses less digits than its factorization.

10102100201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124410155 (or 124410144 counting only the distinct ones).

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

Adding to 10102100201200 its reverse (210200120101), we get a palindrome (10312300321301).

The spelling of 10102100201200 in words is "ten trillion, one hundred two billion, one hundred million, two hundred one thousand, two hundred".