10100002100021 has 8 divisors (see below), whose sum is σ = 10151400134304. Its totient is φ = 10048605369040.

The previous prime is 10100002099991. The next prime is 10100002100051. The reversal of 10100002100021 is 12000120000101.

10100002100021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10100002099991) and next prime (10100002100051).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100002100021 is a prime.

It is a super-2 number, since 2×10100002100021² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100002099981 and 10100002100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100002100051) 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, 17759546 + ... + 18319428.

It is an arithmetic number, because the mean of its divisors is an integer number (1268925016788).

Almost surely, 2^{10100002100021} is an apocalyptic number.

It is an amenable number.

10100002100021 is a deficient number, since it is larger than the sum of its proper divisors (51398034283).

10100002100021 is an equidigital number, since it uses as much as digits as its factorization.

10100002100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651651.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100002100021 its reverse (12000120000101), we get a palindrome (22100122100122).

The spelling of 10100002100021 in words is "ten trillion, one hundred billion, two million, one hundred thousand, twenty-one".