1011122101 has 10 divisors (see below), whose sum is σ = 1112243510. Its totient is φ = 919188600.

The previous prime is 1011122017. The next prime is 1011122129. The reversal of 1011122101 is 1012211101.

It can be written as a sum of positive squares in only one way, i.e., 915062500 + 96059601 = 30250^2 + 9801^2 .

It is not a de Polignac number, because 1011122101 - 2⁷ = 1011121973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011122131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19890 + ... + 49171.

It is an arithmetic number, because the mean of its divisors is an integer number (111224351).

Almost surely, 2^1011122101 is an apocalyptic number.

1011122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011122101 is a deficient number, since it is larger than the sum of its proper divisors (101121409).

1011122101 is an frugal number, since it uses more digits than its factorization.

1011122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69105 (or 69072 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1011122101 is about 31798.1461881035. The cubic root of 1011122101 is about 1003.6937067323.

Adding to 1011122101 its reverse (1012211101), we get a palindrome (2023333202).

It can be divided in two parts, 10 and 11122101, that added together give a palindrome (11122111).

The spelling of 1011122101 in words is "one billion, eleven million, one hundred twenty-two thousand, one hundred one".