101221100211 has 96 divisors (see below), whose sum is σ = 178552498176. Its totient is φ = 50379840000.

The previous prime is 101221100203. The next prime is 101221100219. The reversal of 101221100211 is 112001122101.

It is an interprime number because it is at equal distance from previous prime (101221100203) and next prime (101221100219).

It is not a de Polignac number, because 101221100211 - 2³ = 101221100203 is a prime.

It is a super-2 number, since 2×101221100211² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101221100219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5052831 + ... + 5072823.

It is an arithmetic number, because the mean of its divisors is an integer number (1859921856).

Almost surely, 2^101221100211 is an apocalyptic number.

101221100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101221100211 is a deficient number, since it is larger than the sum of its proper divisors (77331397965).

101221100211 is a wasteful number, since it uses less digits than its factorization.

101221100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20153 (or 20146 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101221100211 its reverse (112001122101), we get a palindrome (213222222312).

The spelling of 101221100211 in words is "one hundred one billion, two hundred twenty-one million, one hundred thousand, two hundred eleven".