101210010021 has 24 divisors (see below), whose sum is σ = 146988616320. Its totient is φ = 67105967616.

The previous prime is 101210010019. The next prime is 101210010047. The reversal of 101210010021 is 120010012101.

It is a happy number.

It is not a de Polignac number, because 101210010021 - 2¹ = 101210010019 is a prime.

It is a super-2 number, since 2×101210010021² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101210009985 and 101210010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210010721) 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 23 ways as a sum of consecutive naturals, for example, 11471950 + ... + 11480768.

It is an arithmetic number, because the mean of its divisors is an integer number (6124525680).

Almost surely, 2^101210010021 is an apocalyptic number.

It is an amenable number.

101210010021 is a deficient number, since it is larger than the sum of its proper divisors (45778606299).

101210010021 is a wasteful number, since it uses less digits than its factorization.

101210010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15625 (or 15622 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101210010021 its reverse (120010012101), we get a palindrome (221220022122).

It can be divided in two parts, 1012100 and 10021, that added together give a square (1022121 = 1011²).

The spelling of 101210010021 in words is "one hundred one billion, two hundred ten million, ten thousand, twenty-one".