101122021 has 16 divisors (see below), whose sum is σ = 135773568. Its totient is φ = 72734400.

The previous prime is 101122019. The next prime is 101122027. The reversal of 101122021 is 120221101.

It is a cyclic number.

It is not a de Polignac number, because 101122021 - 2¹ = 101122019 is a prime.

It is a super-2 number, since 2×101122021² = 20451326262248882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101121989 and 101122007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49510 + ... + 51511.

It is an arithmetic number, because the mean of its divisors is an integer number (8485848).

Almost surely, 2^101122021 is an apocalyptic number.

101122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122021 is a deficient number, since it is larger than the sum of its proper divisors (34651547).

101122021 is a wasteful number, since it uses less digits than its factorization.

101122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101052.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 101122021 is about 10055.9445603086. The cubic root of 101122021 is about 465.8884175361. Note that the first 3 decimals are identical.

Adding to 101122021 its reverse (120221101), we get a palindrome (221343122).

It can be divided in two parts, 1011 and 22021, that added together give a palindrome (23032).

The spelling of 101122021 in words is "one hundred one million, one hundred twenty-two thousand, twenty-one".