101334131110212 has 192 divisors, whose sum is σ = 326046542352384. Its totient is φ = 23639249640960.

The previous prime is 101334131110189. The next prime is 101334131110291. The reversal of 101334131110212 is 212011131433101.

It is a super-2 number, since 2×101334131110212² (a number of 29 digits) contains 22 as substring.

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, 113556568 + ... + 114445455.

It is an arithmetic number, because the mean of its divisors is an integer number (1698159074752).

Almost surely, 2^{101334131110212} is an apocalyptic number.

101334131110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101334131110212 is an abundant number, since it is smaller than the sum of its proper divisors (224712411242172).

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

101334131110212 is a wasteful number, since it uses less digits than its factorization.

101334131110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228002098 (or 228002096 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 101334131110212 its reverse (212011131433101), we get a palindrome (313345262543313).

The spelling of 101334131110212 in words is "one hundred one trillion, three hundred thirty-four billion, one hundred thirty-one million, one hundred ten thousand, two hundred twelve".