10101211121200 has 60 divisors (see below), whose sum is σ = 24271853653728. Its totient is φ = 4039869433600.

The previous prime is 10101211121173. The next prime is 10101211121233. The reversal of 10101211121200 is 212111210101.

It is a happy number.

It is a super-2 number, since 2×10101211121200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 713769 + ... + 4551031.

Almost surely, 2^{10101211121200} is an apocalyptic number.

10101211121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101211121200 is an abundant number, since it is smaller than the sum of its proper divisors (14170642532528).

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

10101211121200 is a wasteful number, since it uses less digits than its factorization.

10101211121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843862 (or 3843851 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10101211121200 its reverse (212111210101), we get a palindrome (10313322331301).

The spelling of 10101211121200 in words is "ten trillion, one hundred one billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".