1010100100021 has 16 divisors (see below), whose sum is σ = 1074594304000. Its totient is φ = 946745791488.

The previous prime is 1010100100007. The next prime is 1010100100039. The reversal of 1010100100021 is 1200010010101.

It is a cyclic number.

It is not a de Polignac number, because 1010100100021 - 2¹³ = 1010100091829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010100099977 and 1010100100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010100100081) 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 15 ways as a sum of consecutive naturals, for example, 5349580 + ... + 5535178.

It is an arithmetic number, because the mean of its divisors is an integer number (67162144000).

Almost surely, 2^{1010100100021} is an apocalyptic number.

It is an amenable number.

1010100100021 is a deficient number, since it is larger than the sum of its proper divisors (64494203979).

1010100100021 is a wasteful number, since it uses less digits than its factorization.

1010100100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188668.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010100100021 its reverse (1200010010101), we get a palindrome (2210110110122).

The spelling of 1010100100021 in words is "one trillion, ten billion, one hundred million, one hundred thousand, twenty-one".