101111101221 has 32 divisors (see below), whose sum is σ = 147752398080. Its totient is φ = 61130893824.

The previous prime is 101111101199. The next prime is 101111101243. The reversal of 101111101221 is 122101111101.

It is an interprime number because it is at equal distance from previous prime (101111101199) and next prime (101111101243).

It is not a de Polignac number, because 101111101221 - 2²⁷ = 100976883493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111101197 and 101111101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111101321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452176 + ... + 637718.

It is an arithmetic number, because the mean of its divisors is an integer number (4617262440).

Almost surely, 2^101111101221 is an apocalyptic number.

It is an amenable number.

101111101221 is a deficient number, since it is larger than the sum of its proper divisors (46641296859).

101111101221 is a wasteful number, since it uses less digits than its factorization.

101111101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185805.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111101221 its reverse (122101111101), we get a palindrome (223212212322).

The spelling of 101111101221 in words is "one hundred one billion, one hundred eleven million, one hundred one thousand, two hundred twenty-one".