101011122021 has 16 divisors (see below), whose sum is σ = 139347192320. Its totient is φ = 65017935360.

The previous prime is 101011122011. The next prime is 101011122077. The reversal of 101011122021 is 120221110101.

It is not a de Polignac number, because 101011122021 - 2¹⁹ = 101010597733 is a prime.

It is a super-2 number, since 2×101011122021² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101011121988 and 101011122006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011122011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213936 + ... + 1294473.

It is an arithmetic number, because the mean of its divisors is an integer number (8709199520).

Almost surely, 2^101011122021 is an apocalyptic number.

It is an amenable number.

101011122021 is a deficient number, since it is larger than the sum of its proper divisors (38336070299).

101011122021 is a wasteful number, since it uses less digits than its factorization.

101011122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508876.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101011122021 its reverse (120221110101), we get a palindrome (221232232122).

The spelling of 101011122021 in words is "one hundred one billion, eleven million, one hundred twenty-two thousand, twenty-one".