10121011201200 has 60 divisors (see below), whose sum is σ = 32420972551688. Its totient is φ = 2698936320000.

The previous prime is 10121011201199. The next prime is 10121011201201. The reversal of 10121011201200 is 210211012101.

It is an interprime number because it is at equal distance from previous prime (10121011201199) and next prime (10121011201201).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×10121011201200³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10121011201201) 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 11 ways as a sum of consecutive naturals, for example, 4217086801 + ... + 4217089200.

Almost surely, 2^{10121011201200} is an apocalyptic number.

10121011201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121011201200 is an abundant number, since it is smaller than the sum of its proper divisors (22299961350488).

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

10121011201200 is a wasteful number, since it uses less digits than its factorization.

10121011201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434176022 (or 8434176011 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10121011201200 its reverse (210211012101), we get a palindrome (10331222213301).

The spelling of 10121011201200 in words is "ten trillion, one hundred twenty-one billion, eleven million, two hundred one thousand, two hundred".