101012012000021 has 2 divisors, whose sum is σ = 101012012000022. Its totient is φ = 101012012000020.

The previous prime is 101012011999999. The next prime is 101012012000033. The reversal of 101012012000021 is 120000210210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95728886764996 + 5283125235025 = 9784114^2 + 2298505^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012012000021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101012011999966 and 101012012000011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012012000041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506006000010 + 50506006000011.

It is an arithmetic number, because the mean of its divisors is an integer number (50506006000011).

Almost surely, 2^{101012012000021} is an apocalyptic number.

It is an amenable number.

101012012000021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012012000021 is an equidigital number, since it uses as much as digits as its factorization.

101012012000021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101012012000021 its reverse (120000210210101), we get a palindrome (221012222210122).

The spelling of 101012012000021 in words is "one hundred one trillion, twelve billion, twelve million, twenty-one", and thus it is an aban number.