101011121211200 has 84 divisors (see below), whose sum is σ = 254612697372012. Its totient is φ = 39418974105600.

The previous prime is 101011121211179. The next prime is 101011121211251. The reversal of 101011121211200 is 2112121110101.

It can be written as a sum of positive squares in 6 ways, for example, as 38064161587456 + 62946959623744 = 6169616^2 + 7933912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 769836239 + ... + 769967438.

It is an arithmetic number, because the mean of its divisors is an integer number (3031103540143).

Almost surely, 2^{101011121211200} is an apocalyptic number.

101011121211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011121211200 is an abundant number, since it is smaller than the sum of its proper divisors (153601576160812).

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

101011121211200 is a wasteful number, since it uses less digits than its factorization.

101011121211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539803740 (or 1539803725 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101011121211200 its reverse (2112121110101), we get a palindrome (103123242321301).

The spelling of 101011121211200 in words is "one hundred one trillion, eleven billion, one hundred twenty-one million, two hundred eleven thousand, two hundred".