101022100112 has 10 divisors (see below), whose sum is σ = 195730318998. Its totient is φ = 50511050048.

The previous prime is 101022100079. The next prime is 101022100187. The reversal of 101022100112 is 211001220101.

It can be written as a sum of positive squares in only one way, i.e., 71184374416 + 29837725696 = 266804^2 + 172736^2 .

It is a super-2 number, since 2×101022100112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101022100093 and 101022100102.

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 as a sum of consecutive naturals, namely, 3156940613 + ... + 3156940644.

Almost surely, 2^101022100112 is an apocalyptic number.

It is an amenable number.

101022100112 is a deficient number, since it is larger than the sum of its proper divisors (94708218886).

101022100112 is an equidigital number, since it uses as much as digits as its factorization.

101022100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313881265 (or 6313881259 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101022100112 its reverse (211001220101), we get a palindrome (312023320213).

The spelling of 101022100112 in words is "one hundred one billion, twenty-two million, one hundred thousand, one hundred twelve".