10021000010113 has 8 divisors (see below), whose sum is σ = 10265988531456. Its totient is φ = 9776038816800.

The previous prime is 10021000010089. The next prime is 10021000010137. The reversal of 10021000010113 is 31101000012001.

It is an interprime number because it is at equal distance from previous prime (10021000010089) and next prime (10021000010137).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10021000010113 - 2¹³ = 10021000001921 is a prime.

It is a super-2 number, since 2×10021000010113² (a number of 27 digits) contains 22 as substring.

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 10021000010113.

It is not an unprimeable number, because it can be changed into a prime (10021000010213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6088681 + ... + 7557382.

It is an arithmetic number, because the mean of its divisors is an integer number (1283248566432).

Almost surely, 2^{10021000010113} is an apocalyptic number.

It is an amenable number.

10021000010113 is a deficient number, since it is larger than the sum of its proper divisors (244988521343).

10021000010113 is a wasteful number, since it uses less digits than its factorization.

10021000010113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13664015.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10021000010113 its reverse (31101000012001), we get a palindrome (41122000022114).

The spelling of 10021000010113 in words is "ten trillion, twenty-one billion, ten thousand, one hundred thirteen".