101022101100112 has 20 divisors (see below), whose sum is σ = 195730648341876. Its totient is φ = 50510966044160.

The previous prime is 101022101100103. The next prime is 101022101100119. The reversal of 101022101100112 is 211001101220101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97914270586896 + 3107830513216 = 9895164^2 + 1762904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101022101100092 and 101022101100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022101100119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5212662 + ... + 15139882.

Almost surely, 2^{101022101100112} is an apocalyptic number.

It is an amenable number.

101022101100112 is a deficient number, since it is larger than the sum of its proper divisors (94708547241764).

101022101100112 is an equidigital number, since it uses as much as digits as its factorization.

101022101100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10563246 (or 10563240 counting only the distinct ones).

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

Adding to 101022101100112 its reverse (211001101220101), we get a palindrome (312023202320213).

The spelling of 101022101100112 in words is "one hundred one trillion, twenty-two billion, one hundred one million, one hundred thousand, one hundred twelve".