101020002021 has 12 divisors (see below), whose sum is σ = 146072859660. Its totient is φ = 67275093120.

The previous prime is 101020002019. The next prime is 101020002103. The reversal of 101020002021 is 120200020101.

It can be written as a sum of positive squares in 2 ways, for example, as 23905488996 + 77114513025 = 154614^2 + 277695^2 .

It is not a de Polignac number, because 101020002021 - 2¹ = 101020002019 is a prime.

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 = 101020001994 and 101020002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020002001) 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 11 ways as a sum of consecutive naturals, for example, 5955636 + ... + 5972573.

It is an arithmetic number, because the mean of its divisors is an integer number (12172738305).

Almost surely, 2^101020002021 is an apocalyptic number.

It is an amenable number.

101020002021 is a deficient number, since it is larger than the sum of its proper divisors (45052857639).

101020002021 is a wasteful number, since it uses less digits than its factorization.

101020002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11929156 (or 11929153 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101020002021 its reverse (120200020101), we get a palindrome (221220022122).

The spelling of 101020002021 in words is "one hundred one billion, twenty million, two thousand, twenty-one".