101001120211220 has 48 divisors (see below), whose sum is σ = 212703430347408. Its totient is φ = 40285990103040.

The previous prime is 101001120211217. The next prime is 101001120211291. The reversal of 101001120211220 is 22112021100101.

It can be written as a sum of positive squares in 8 ways, for example, as 1437802439056 + 99563317772164 = 1199084^2 + 9978142^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101001120211195 and 101001120211204.

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 15 ways as a sum of consecutive naturals, for example, 48035150 + ... + 50093690.

It is an arithmetic number, because the mean of its divisors is an integer number (4431321465571).

Almost surely, 2^{101001120211220} is an apocalyptic number.

101001120211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001120211220 is an abundant number, since it is smaller than the sum of its proper divisors (111702310136188).

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

101001120211220 is a wasteful number, since it uses less digits than its factorization.

101001120211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065500 (or 2065498 counting only the distinct ones).

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

Adding to 101001120211220 its reverse (22112021100101), we get a palindrome (123113141311321).

The spelling of 101001120211220 in words is "one hundred one trillion, one billion, one hundred twenty million, two hundred eleven thousand, two hundred twenty".