101211112010021 has 16 divisors (see below), whose sum is σ = 110152573196400. Its totient is φ = 92436083443200.

The previous prime is 101211112010003. The next prime is 101211112010053. The reversal of 101211112010021 is 120010211112101.

It can be written as a sum of positive squares in 8 ways, for example, as 746774233921 + 100464337776100 = 864161^2 + 10023190^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211112010021 - 2¹⁸ = 101211111747877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101211112009978 and 101211112010005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211112010081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25014446 + ... + 28777503.

It is an arithmetic number, because the mean of its divisors is an integer number (6884535824775).

Almost surely, 2^{101211112010021} is an apocalyptic number.

It is an amenable number.

101211112010021 is a deficient number, since it is larger than the sum of its proper divisors (8941461186379).

101211112010021 is a wasteful number, since it uses less digits than its factorization.

101211112010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53793496.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101211112010021 its reverse (120010211112101), we get a palindrome (221221323122122).

The spelling of 101211112010021 in words is "one hundred one trillion, two hundred eleven billion, one hundred twelve million, ten thousand, twenty-one".