1012022202101 has 16 divisors (see below), whose sum is σ = 1039148611200. Its totient is φ = 985335706368.

The previous prime is 1012022202089. The next prime is 1012022202127.

1012022202101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1012022202101 - 2¹⁰ = 1012022201077 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 (1012022202601) 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, 1507520 + ... + 2072838.

It is an arithmetic number, because the mean of its divisors is an integer number (64946788200).

Almost surely, 2^{1012022202101} is an apocalyptic number.

It is an amenable number.

1012022202101 is a deficient number, since it is larger than the sum of its proper divisors (27126409099).

1012022202101 is a wasteful number, since it uses less digits than its factorization.

1012022202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565708.

The product of its (nonzero) digits is 32, while the sum is 14.

The spelling of 1012022202101 in words is "one trillion, twelve billion, twenty-two million, two hundred two thousand, one hundred one".