101021021122021 has 64 divisors (see below), whose sum is σ = 136989479241216. Its totient is φ = 71937828864000.

The previous prime is 101021021121991. The next prime is 101021021122033. The reversal of 101021021122021 is 120221120120101.

It is not a de Polignac number, because 101021021122021 - 2⁵ = 101021021121989 is a prime.

It is a super-3 number, since 3×101021021122021³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101021021121986 and 101021021122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021021122061) 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, 1875699925 + ... + 1875753781.

It is an arithmetic number, because the mean of its divisors is an integer number (2140460613144).

Almost surely, 2^{101021021122021} is an apocalyptic number.

101021021122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101021021122021 is a deficient number, since it is larger than the sum of its proper divisors (35968458119195).

101021021122021 is a wasteful number, since it uses less digits than its factorization.

101021021122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72542.

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

Adding to 101021021122021 its reverse (120221120120101), we get a palindrome (221242141242122).

The spelling of 101021021122021 in words is "one hundred one trillion, twenty-one billion, twenty-one million, one hundred twenty-two thousand, twenty-one".