101110020210012 has 96 divisors (see below), whose sum is σ = 258896034432000. Its totient is φ = 30458347315200.

The previous prime is 101110020210011. The next prime is 101110020210013. The reversal of 101110020210012 is 210012020011101.

It is an interprime number because it is at equal distance from previous prime (101110020210011) and next prime (101110020210013).

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 101110020210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110020210011) 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, 12914064 + ... + 19209192.

It is an arithmetic number, because the mean of its divisors is an integer number (2696833692000).

Almost surely, 2^{101110020210012} is an apocalyptic number.

101110020210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110020210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129448017216000).

101110020210012 is an abundant number, since it is smaller than the sum of its proper divisors (157786014221988).

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

101110020210012 is a wasteful number, since it uses less digits than its factorization.

101110020210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295867 (or 6295865 counting only the distinct ones).

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

Adding to 101110020210012 its reverse (210012020011101), we get a palindrome (311122040221113).

The spelling of 101110020210012 in words is "one hundred one trillion, one hundred ten billion, twenty million, two hundred ten thousand, twelve".