1010505105111 has 16 divisors (see below), whose sum is σ = 1351382947200. Its totient is φ = 671650153248.

The previous prime is 1010505105083. The next prime is 1010505105163. The reversal of 1010505105111 is 1115015050101.

It is not a de Polignac number, because 1010505105111 - 2⁵ = 1010505105079 is a prime.

It is a super-2 number, since 2×1010505105111² (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 (1010505105811) 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, 2554480 + ... + 2923418.

It is an arithmetic number, because the mean of its divisors is an integer number (84461434200).

Almost surely, 2^{1010505105111} is an apocalyptic number.

1010505105111 is a deficient number, since it is larger than the sum of its proper divisors (340877842089).

1010505105111 is a wasteful number, since it uses less digits than its factorization.

1010505105111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371678.

The product of its (nonzero) digits is 125, while the sum is 21.

The spelling of 1010505105111 in words is "one trillion, ten billion, five hundred five million, one hundred five thousand, one hundred eleven".