10100212120200 has 384 divisors, whose sum is σ = 34059991449600. Its totient is φ = 2468484480000.

The previous prime is 10100212120183. The next prime is 10100212120213. The reversal of 10100212120200 is 202121200101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43090921 + ... + 43324679.

It is an arithmetic number, because the mean of its divisors is an integer number (88697894400).

Almost surely, 2^{10100212120200} is an apocalyptic number.

10100212120200 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 10100212120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17029995724800).

10100212120200 is an abundant number, since it is smaller than the sum of its proper divisors (23959779329400).

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

10100212120200 is a wasteful number, since it uses less digits than its factorization.

10100212120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233933 (or 233924 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100212120200 its reverse (202121200101), we get a palindrome (10302333320301).

The spelling of 10100212120200 in words is "ten trillion, one hundred billion, two hundred twelve million, one hundred twenty thousand, two hundred".