10102011101021 has 16 divisors (see below), whose sum is σ = 11734711728000. Its totient is φ = 8516706569280.

The previous prime is 10102011100999. The next prime is 10102011101047. The reversal of 10102011101021 is 12010111020101.

10102011101021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10102011101021 - 2¹⁰ = 10102011099997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102011100993 and 10102011101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102011101321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18302135 + ... + 18846011.

It is an arithmetic number, because the mean of its divisors is an integer number (733419483000).

Almost surely, 2^{10102011101021} is an apocalyptic number.

It is an amenable number.

10102011101021 is a deficient number, since it is larger than the sum of its proper divisors (1632700626979).

10102011101021 is an equidigital number, since it uses as much as digits as its factorization.

10102011101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587444.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10102011101021 its reverse (12010111020101), we get a palindrome (22112122121122).

The spelling of 10102011101021 in words is "ten trillion, one hundred two billion, eleven million, one hundred one thousand, twenty-one".