1010002100021 has 4 divisors (see below), whose sum is σ = 1012282014912. Its totient is φ = 1007722185132.

The previous prime is 1010002099973. The next prime is 1010002100027. The reversal of 1010002100021 is 1200012000101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1010002100021 - 2¹⁴ = 1010002083637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010002099981 and 1010002100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010002100027) 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 3 ways as a sum of consecutive naturals, for example, 1139956781 + ... + 1139957666.

It is an arithmetic number, because the mean of its divisors is an integer number (253070503728).

Almost surely, 2^{1010002100021} is an apocalyptic number.

It is an amenable number.

1010002100021 is a deficient number, since it is larger than the sum of its proper divisors (2279914891).

1010002100021 is an equidigital number, since it uses as much as digits as its factorization.

1010002100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279914890.

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

Adding to 1010002100021 its reverse (1200012000101), we get a palindrome (2210014100122).

The spelling of 1010002100021 in words is "one trillion, ten billion, two million, one hundred thousand, twenty-one".