10101001002012 has 72 divisors (see below), whose sum is σ = 25574374425600. Its totient is φ = 3361556720928.

The previous prime is 10101001001879. The next prime is 10101001002019. The reversal of 10101001002012 is 21020010010101.

It is a happy number.

10101001002012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101001001985 and 10101001002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001002019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389701189 + ... + 389727107.

It is an arithmetic number, because the mean of its divisors is an integer number (355199644800).

Almost surely, 2^{10101001002012} is an apocalyptic number.

10101001002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101001002012 is an abundant number, since it is smaller than the sum of its proper divisors (15473373423588).

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

10101001002012 is a wasteful number, since it uses less digits than its factorization.

10101001002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43015 (or 43010 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101001002012 its reverse (21020010010101), we get a palindrome (31121011012113).

The spelling of 10101001002012 in words is "ten trillion, one hundred one billion, one million, two thousand, twelve".