10121132023200 has 1080 divisors, whose sum is σ = 42334955951904. Its totient is φ = 2346887347200.

The previous prime is 10121132023193. The next prime is 10121132023241. The reversal of 10121132023200 is 232023112101.

10121132023200 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 1 + 320 + 2 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 180310339 + ... + 180366461.

Almost surely, 2^{10121132023200} is an apocalyptic number.

10121132023200 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 10121132023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21167477975952).

10121132023200 is an abundant number, since it is smaller than the sum of its proper divisors (32213823928704).

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

10121132023200 is a wasteful number, since it uses less digits than its factorization.

10121132023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56200 (or 56167 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10121132023200 its reverse (232023112101), we get a palindrome (10353155135301).

The spelling of 10121132023200 in words is "ten trillion, one hundred twenty-one billion, one hundred thirty-two million, twenty-three thousand, two hundred".