1012100110021 has 32 divisors (see below), whose sum is σ = 1360543968000. Its totient is φ = 727105351680.

The previous prime is 1012100110003. The next prime is 1012100110127. The reversal of 1012100110021 is 1200110012101.

It is a cyclic number.

It is not a de Polignac number, because 1012100110021 - 2⁷ = 1012100109893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012100114021) 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 31 ways as a sum of consecutive naturals, for example, 220005 + ... + 1439653.

It is an arithmetic number, because the mean of its divisors is an integer number (42516999000).

Almost surely, 2^{1012100110021} is an apocalyptic number.

1012100110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012100110021 is a deficient number, since it is larger than the sum of its proper divisors (348443857979).

1012100110021 is a wasteful number, since it uses less digits than its factorization.

1012100110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220509.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1012100110021 its reverse (1200110012101), we get a palindrome (2212210122122).

The spelling of 1012100110021 in words is "one trillion, twelve billion, one hundred million, one hundred ten thousand, twenty-one".