101100211220 has 24 divisors (see below), whose sum is σ = 219631494600. Its totient is φ = 39045598592.

The previous prime is 101100211153. The next prime is 101100211237. The reversal of 101100211220 is 22112001101.

It can be written as a sum of positive squares in 4 ways, for example, as 17991393424 + 83108817796 = 134132^2 + 288286^2 .

It is a super-2 number, since 2×101100211220² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87154775 + ... + 87155934.

It is an arithmetic number, because the mean of its divisors is an integer number (9151312275).

Almost surely, 2^101100211220 is an apocalyptic number.

101100211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100211220 is an abundant number, since it is smaller than the sum of its proper divisors (118531283380).

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

101100211220 is a wasteful number, since it uses less digits than its factorization.

101100211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174310747 (or 174310745 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101100211220 its reverse (22112001101), we get a palindrome (123212212321).

The spelling of 101100211220 in words is "one hundred one billion, one hundred million, two hundred eleven thousand, two hundred twenty".