10121000011200 has 252 divisors, whose sum is σ = 38739533953848. Its totient is φ = 2491323033600.

The previous prime is 10121000011183. The next prime is 10121000011201. The reversal of 10121000011200 is 211000012101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121000011201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 26845386 + ... + 27219785.

Almost surely, 2^{10121000011200} is an apocalyptic number.

10121000011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121000011200 is an abundant number, since it is smaller than the sum of its proper divisors (28618533942648).

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

10121000011200 is a wasteful number, since it uses less digits than its factorization.

10121000011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54065212 (or 54065194 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10121000011200 its reverse (211000012101), we get a palindrome (10332000023301).

Subtracting from 10121000011200 its reverse (211000012101), we obtain a palindrome (9909999999099).

The spelling of 10121000011200 in words is "ten trillion, one hundred twenty-one billion, eleven thousand, two hundred".