211220110101 has 64 divisors (see below), whose sum is σ = 378235662336. Its totient is φ = 101255616000.

The previous prime is 211220110097. The next prime is 211220110111. The reversal of 211220110101 is 101011022112.

211220110101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211220110101 - 2² = 211220110097 is a prime.

It is a super-2 number, since 2×211220110101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220110111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13707001 + ... + 13722401.

It is an arithmetic number, because the mean of its divisors is an integer number (5909932224).

Almost surely, 2^211220110101 is an apocalyptic number.

211220110101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211220110101 is a deficient number, since it is larger than the sum of its proper divisors (167015552235).

211220110101 is a wasteful number, since it uses less digits than its factorization.

211220110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20002.

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

Adding to 211220110101 its reverse (101011022112), we get a palindrome (312231132213).

The spelling of 211220110101 in words is "two hundred eleven billion, two hundred twenty million, one hundred ten thousand, one hundred one".