1010012022101 has 16 divisors (see below), whose sum is σ = 1104456706560. Its totient is φ = 920089160640.

The previous prime is 1010012022091. The next prime is 1010012022133. The reversal of 1010012022101 is 1012202100101.

1010012022101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1010012022101 - 2³⁰ = 1008938280277 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 (1010012022161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5368646 + ... + 5553591.

It is an arithmetic number, because the mean of its divisors is an integer number (69028544160).

Almost surely, 2^{1010012022101} is an apocalyptic number.

It is an amenable number.

1010012022101 is a deficient number, since it is larger than the sum of its proper divisors (94444684459).

1010012022101 is a wasteful number, since it uses less digits than its factorization.

1010012022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922444.

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

Adding to 1010012022101 its reverse (1012202100101), we get a palindrome (2022214122202).

The spelling of 1010012022101 in words is "one trillion, ten billion, twelve million, twenty-two thousand, one hundred one".