101021102013 has 24 divisors (see below), whose sum is σ = 146825049952. Its totient is φ = 61417670688.

The previous prime is 101021101999. The next prime is 101021102023. The reversal of 101021102013 is 310201120101.

It is not a de Polignac number, because 101021102013 - 2⁶ = 101021101949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101021102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021102023) 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 23 ways as a sum of consecutive naturals, for example, 80670 + ... + 456672.

Almost surely, 2^101021102013 is an apocalyptic number.

101021102013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101021102013 is a deficient number, since it is larger than the sum of its proper divisors (45803947939).

101021102013 is an equidigital number, since it uses as much as digits as its factorization.

101021102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376185 (or 376102 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101021102013 its reverse (310201120101), we get a palindrome (411222222114).

The spelling of 101021102013 in words is "one hundred one billion, twenty-one million, one hundred two thousand, thirteen".