1052120500101 has 48 divisors (see below), whose sum is σ = 1751166523392. Its totient is φ = 602728711200.

The previous prime is 1052120500073. The next prime is 1052120500127. The reversal of 1052120500101 is 1010050212501.

1052120500101 is a `hidden beast` number, since 1 + 0 + 52 + 12 + 0 + 500 + 101 = 666.

It is not a de Polignac number, because 1052120500101 - 2⁶ = 1052120500037 is a prime.

It is a super-2 number, since 2×1052120500101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052120500181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3854335 + ... + 4118268.

It is an arithmetic number, because the mean of its divisors is an integer number (36482635904).

Almost surely, 2^{1052120500101} is an apocalyptic number.

1052120500101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1052120500101 is a deficient number, since it is larger than the sum of its proper divisors (699046023291).

1052120500101 is a wasteful number, since it uses less digits than its factorization.

1052120500101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7972694 (or 7972691 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 1052120500101 its reverse (1010050212501), we get a palindrome (2062170712602).

The spelling of 1052120500101 in words is "one trillion, fifty-two billion, one hundred twenty million, five hundred thousand, one hundred one".