101011210221200 has 60 divisors (see below), whose sum is σ = 243046573030068. Its totient is φ = 40343357683200.

The previous prime is 101011210221139. The next prime is 101011210221217. The reversal of 101011210221200 is 2122012110101.

It can be written as a sum of positive squares in 6 ways, for example, as 1413045728656 + 99598164492544 = 1188716^2 + 9979888^2 .

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, 190755287 + ... + 191284086.

Almost surely, 2^{101011210221200} is an apocalyptic number.

101011210221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011210221200 is an abundant number, since it is smaller than the sum of its proper divisors (142035362808868).

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

101011210221200 is a wasteful number, since it uses less digits than its factorization.

101011210221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382040052 (or 382040041 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011210221200 its reverse (2122012110101), we get a palindrome (103133222331301).

The spelling of 101011210221200 in words is "one hundred one trillion, eleven billion, two hundred ten million, two hundred twenty-one thousand, two hundred".