1010100002021 has 12 divisors (see below), whose sum is σ = 1119017550336. Its totient is φ = 911042221320.

The previous prime is 1010100001997. The next prime is 1010100002029. The reversal of 1010100002021 is 1202000010101.

It is not a de Polignac number, because 1010100002021 - 2⁶ = 1010100001957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010100002029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32850515 + ... + 32881248.

It is an arithmetic number, because the mean of its divisors is an integer number (93251462528).

Almost surely, 2^{1010100002021} is an apocalyptic number.

1010100002021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010100002021 is a deficient number, since it is larger than the sum of its proper divisors (108917548315).

1010100002021 is a wasteful number, since it uses less digits than its factorization.

1010100002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65731912 (or 65731901 counting only the distinct ones).

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

Adding to 1010100002021 its reverse (1202000010101), we get a palindrome (2212100012122).

The spelling of 1010100002021 in words is "one trillion, ten billion, one hundred million, two thousand, twenty-one".