101121021022021 has 64 divisors (see below), whose sum is σ = 142934276782080. Its totient is φ = 68897808195840.

The previous prime is 101121021022019. The next prime is 101121021022033. The reversal of 101121021022021 is 120220120121101.

It is not a de Polignac number, because 101121021022021 - 2¹ = 101121021022019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121021021986 and 101121021022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121021022321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156451111 + ... + 157096123.

It is an arithmetic number, because the mean of its divisors is an integer number (2233348074720).

Almost surely, 2^{101121021022021} is an apocalyptic number.

101121021022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121021022021 is a deficient number, since it is larger than the sum of its proper divisors (41813255760059).

101121021022021 is a wasteful number, since it uses less digits than its factorization.

101121021022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653306.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101121021022021 its reverse (120220120121101), we get a palindrome (221341141143122).

The spelling of 101121021022021 in words is "one hundred one trillion, one hundred twenty-one billion, twenty-one million, twenty-two thousand, twenty-one".