101012001211200 has 84 divisors (see below), whose sum is σ = 331403540656160. Its totient is φ = 26936533655040.

The previous prime is 101012001211183. The next prime is 101012001211243. The reversal of 101012001211200 is 2112100210101.

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 (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10522078660 + ... + 10522088259.

Almost surely, 2^{101012001211200} is an apocalyptic number.

101012001211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012001211200 is an abundant number, since it is smaller than the sum of its proper divisors (230391539444960).

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

101012001211200 is a wasteful number, since it uses less digits than its factorization.

101012001211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21044166944 (or 21044166929 counting only the distinct ones).

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

Adding to 101012001211200 its reverse (2112100210101), we get a palindrome (103124101421301).

The spelling of 101012001211200 in words is "one hundred one trillion, twelve billion, one million, two hundred eleven thousand, two hundred".