101010121100112 has 320 divisors, whose sum is σ = 314383786864128. Its totient is φ = 27346222080000.

The previous prime is 101010121100087. The next prime is 101010121100167. The reversal of 101010121100112 is 211001121010101.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75934162 + ... + 77252942.

Almost surely, 2^{101010121100112} is an apocalyptic number.

101010121100112 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 101010121100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157191893432064).

101010121100112 is an abundant number, since it is smaller than the sum of its proper divisors (213373665764016).

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

101010121100112 is a wasteful number, since it uses less digits than its factorization.

101010121100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318998 (or 1318992 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101010121100112 its reverse (211001121010101), we get a palindrome (312011242110213).

It can be divided in two parts, 1010101 and 21100112, that multiplied together give a palindrome (21313244231312).

The spelling of 101010121100112 in words is "one hundred one trillion, ten billion, one hundred twenty-one million, one hundred thousand, one hundred twelve".