101102220112 has 20 divisors (see below), whose sum is σ = 195942453300. Its totient is φ = 50536425728.

The previous prime is 101102220073. The next prime is 101102220173. The reversal of 101102220112 is 211022201101.

It can be written as a sum of positive squares in 2 ways, for example, as 4930286656 + 96171933456 = 70216^2 + 310116^2 .

It is a super-3 number, since 3×101102220112³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102220092 and 101102220101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 860863 + ... + 971230.

It is an arithmetic number, because the mean of its divisors is an integer number (9797122665).

Almost surely, 2^101102220112 is an apocalyptic number.

It is an amenable number.

101102220112 is a deficient number, since it is larger than the sum of its proper divisors (94840233188).

101102220112 is a wasteful number, since it uses less digits than its factorization.

101102220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835550 (or 1835544 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101102220112 its reverse (211022201101), we get a palindrome (312124421213).

The spelling of 101102220112 in words is "one hundred one billion, one hundred two million, two hundred twenty thousand, one hundred twelve".