10211001211200 has 168 divisors, whose sum is σ = 34957141046208. Its totient is φ = 2604545208320.

The previous prime is 10211001211171. The next prime is 10211001211267. The reversal of 10211001211200 is 211210011201.

It is a super-3 number, since 3×10211001211200³ (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 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 23 ways as a sum of consecutive naturals, for example, 46135077 + ... + 46355876.

Almost surely, 2^{10211001211200} is an apocalyptic number.

10211001211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211001211200 is an abundant number, since it is smaller than the sum of its proper divisors (24746139835008).

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

10211001211200 is a wasteful number, since it uses less digits than its factorization.

10211001211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92491001 (or 92490986 counting only the distinct ones).

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

Adding to 10211001211200 its reverse (211210011201), we get a palindrome (10422211222401).

The spelling of 10211001211200 in words is "ten trillion, two hundred eleven billion, one million, two hundred eleven thousand, two hundred".