101012201010012 has 96 divisors (see below), whose sum is σ = 236901121357824. Its totient is φ = 33498813816000.

The previous prime is 101012201010011. The next prime is 101012201010013. The reversal of 101012201010012 is 210010102210101.

It is an interprime number because it is at equal distance from previous prime (101012201010011) and next prime (101012201010013).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101012201010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012201010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10536367483 + ... + 10536377069.

It is an arithmetic number, because the mean of its divisors is an integer number (2467720014144).

Almost surely, 2^{101012201010012} is an apocalyptic number.

101012201010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101012201010012 is an abundant number, since it is smaller than the sum of its proper divisors (135888920347812).

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

101012201010012 is a wasteful number, since it uses less digits than its factorization.

101012201010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13879 (or 13877 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101012201010012 its reverse (210010102210101), we get a palindrome (311022303220113).

The spelling of 101012201010012 in words is "one hundred one trillion, twelve billion, two hundred one million, ten thousand, twelve".