101002220102112 has 384 divisors, whose sum is σ = 311431038234624. Its totient is φ = 28061641617408.

The previous prime is 101002220102041. The next prime is 101002220102131. The reversal of 101002220102112 is 211201022200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002220102091 and 101002220102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8046056028 + ... + 8046068580.

It is an arithmetic number, because the mean of its divisors is an integer number (811018328736).

Almost surely, 2^{101002220102112} is an apocalyptic number.

101002220102112 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 101002220102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155715519117312).

101002220102112 is an abundant number, since it is smaller than the sum of its proper divisors (210428818132512).

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

101002220102112 is a wasteful number, since it uses less digits than its factorization.

101002220102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13830 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101002220102112 its reverse (211201022200101), we get a palindrome (312203242302213).

The spelling of 101002220102112 in words is "one hundred one trillion, two billion, two hundred twenty million, one hundred two thousand, one hundred twelve".