101021121020200 has 24 divisors (see below), whose sum is σ = 234874106372430. Its totient is φ = 40408448408000.

The previous prime is 101021121020117. The next prime is 101021121020291. The reversal of 101021121020200 is 2020121120101.

It can be written as a sum of positive squares in 3 ways, for example, as 40182337814116 + 60838783206084 = 6338954^2 + 7799922^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252552802351 + ... + 252552802750.

Almost surely, 2^{101021121020200} is an apocalyptic number.

101021121020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021121020200 is an abundant number, since it is smaller than the sum of its proper divisors (133852985352230).

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

101021121020200 is a wasteful number, since it uses less digits than its factorization.

101021121020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505105605117 (or 505105605108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101021121020200 its reverse (2020121120101), we get a palindrome (103041242140301).

Subtracting from 101021121020200 its reverse (2020121120101), we obtain a palindrome (99000999900099).

The spelling of 101021121020200 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-one million, twenty thousand, two hundred".