10501010001012 has 96 divisors (see below), whose sum is σ = 25011044352000. Its totient is φ = 3428435567232.

The previous prime is 10501010001011. The next prime is 10501010001017. The reversal of 10501010001012 is 21010001010501.

10501010001012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10501010001012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10501010001011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111118093 + ... + 111212555.

It is an arithmetic number, because the mean of its divisors is an integer number (260531712000).

Almost surely, 2^{10501010001012} is an apocalyptic number.

10501010001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10501010001012 is an abundant number, since it is smaller than the sum of its proper divisors (14510034350988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10501010001012 is a wasteful number, since it uses less digits than its factorization.

10501010001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95485 (or 95483 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

Adding to 10501010001012 its reverse (21010001010501), we get a palindrome (31511011011513).

The spelling of 10501010001012 in words is "ten trillion, five hundred one billion, ten million, one thousand, twelve".