101021020000002 has 24 divisors (see below), whose sum is σ = 222467054975100. Its totient is φ = 33121645901280.

The previous prime is 101021019999967. The next prime is 101021020000073. The reversal of 101021020000002 is 200000020120101.

101021020000002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 78550092396801 + 22470927603201 = 8862849^2 + 4740351^2 .

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

It is an unprimeable number.

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, 46002284877 + ... + 46002287072.

Almost surely, 2^{101021020000002} is an apocalyptic number.

101021020000002 is an abundant number, since it is smaller than the sum of its proper divisors (121446034975098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101021020000002 is a wasteful number, since it uses less digits than its factorization.

101021020000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92004572018 (or 92004572015 counting only the distinct ones).

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

Adding to 101021020000002 its reverse (200000020120101), we get a palindrome (301021040120103).

The spelling of 101021020000002 in words is "one hundred one trillion, twenty-one billion, twenty million, two", and thus it is an aban number.