101210102112 has 240 divisors, whose sum is σ = 310882631472. Its totient is φ = 28829122560.

The previous prime is 101210102087. The next prime is 101210102197. The reversal of 101210102112 is 211201012101.

It is a super-3 number, since 3×101210102112³ (a number of 34 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132995812 + ... + 132996572.

Almost surely, 2^101210102112 is an apocalyptic number.

101210102112 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 101210102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155441315736).

101210102112 is an abundant number, since it is smaller than the sum of its proper divisors (209672529360).

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

101210102112 is an frugal number, since it uses more digits than its factorization.

101210102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1350 counting only the distinct ones).

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

Adding to 101210102112 its reverse (211201012101), we get a palindrome (312411114213).

The spelling of 101210102112 in words is "one hundred one billion, two hundred ten million, one hundred two thousand, one hundred twelve".