101321414230212 has 72 divisors (see below), whose sum is σ = 279419634198432. Its totient is φ = 30701463408000.

The previous prime is 101321414230181. The next prime is 101321414230217. The reversal of 101321414230212 is 212032414123101.

101321414230212 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 1 + 414 + 2 + 30 + 212 = 666.

It is a super-2 number, since 2×101321414230212² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101321414230217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2207878 + ... + 14405469.

It is an arithmetic number, because the mean of its divisors is an integer number (3880828252756).

Almost surely, 2^{101321414230212} is an apocalyptic number.

101321414230212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101321414230212 is an abundant number, since it is smaller than the sum of its proper divisors (178098219968220).

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

101321414230212 is a wasteful number, since it uses less digits than its factorization.

101321414230212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16628769 (or 16628764 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101321414230212 its reverse (212032414123101), we get a palindrome (313353828353313).

The spelling of 101321414230212 in words is "one hundred one trillion, three hundred twenty-one billion, four hundred fourteen million, two hundred thirty thousand, two hundred twelve".