1052100712101 has 16 divisors (see below), whose sum is σ = 1423845554688. Its totient is φ = 690879750000.

The previous prime is 1052100712087. The next prime is 1052100712109. The reversal of 1052100712101 is 1012170012501.

It is not a de Polignac number, because 1052100712101 - 2¹⁴ = 1052100695717 is a prime.

It is a super-2 number, since 2×1052100712101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052100712109) 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, 2573626 + ... + 2954276.

It is an arithmetic number, because the mean of its divisors is an integer number (88990347168).

Almost surely, 2^{1052100712101} is an apocalyptic number.

It is an amenable number.

1052100712101 is a deficient number, since it is larger than the sum of its proper divisors (371744842587).

1052100712101 is a wasteful number, since it uses less digits than its factorization.

1052100712101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394472.

The product of its (nonzero) digits is 140, while the sum is 21.

Adding to 1052100712101 its reverse (1012170012501), we get a palindrome (2064270724602).

The spelling of 1052100712101 in words is "one trillion, fifty-two billion, one hundred million, seven hundred twelve thousand, one hundred one".