101101001220112 has 40 divisors (see below), whose sum is σ = 196293943046520. Its totient is φ = 50444569681920.

The previous prime is 101101001220091. The next prime is 101101001220113. The reversal of 101101001220112 is 211022100101101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7927851134736 + 93173150085376 = 2815644^2 + 9652624^2 .

It is a super-2 number, since 2×101101001220112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101101001220092 and 101101001220101.

It is not an unprimeable number, because it can be changed into a prime (101101001220113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20977564 + ... + 25342852.

It is an arithmetic number, because the mean of its divisors is an integer number (4907348576163).

Almost surely, 2^{101101001220112} is an apocalyptic number.

It is an amenable number.

101101001220112 is a deficient number, since it is larger than the sum of its proper divisors (95192941826408).

101101001220112 is a wasteful number, since it uses less digits than its factorization.

101101001220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368331 (or 4368325 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101001220112 its reverse (211022100101101), we get a palindrome (312123101321213).

The spelling of 101101001220112 in words is "one hundred one trillion, one hundred one billion, one million, two hundred twenty thousand, one hundred twelve".