101211211321 has 16 divisors (see below), whose sum is σ = 116491919040. Its totient is φ = 86966161920.

The previous prime is 101211211247. The next prime is 101211211331. The reversal of 101211211321 is 123112112101.

It is a happy number.

It is not a de Polignac number, because 101211211321 - 2¹³ = 101211203129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101211211295 and 101211211304.

It is not an unprimeable number, because it can be changed into a prime (101211211331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468700 + ... + 649693.

It is an arithmetic number, because the mean of its divisors is an integer number (7280744940).

Almost surely, 2^101211211321 is an apocalyptic number.

101211211321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211211321 is a deficient number, since it is larger than the sum of its proper divisors (15280707719).

101211211321 is a wasteful number, since it uses less digits than its factorization.

101211211321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118856.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101211211321 its reverse (123112112101), we get a palindrome (224323323422).

The spelling of 101211211321 in words is "one hundred one billion, two hundred eleven million, two hundred eleven thousand, three hundred twenty-one".