101232132320214 has 384 divisors, whose sum is σ = 275716729491840. Its totient is φ = 27415438848000.

The previous prime is 101232132320191. The next prime is 101232132320243. The reversal of 101232132320214 is 412023231232101.

101232132320214 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 213 + 232 + 0 + 214 = 666.

It is a super-2 number, since 2×101232132320214² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2813783394 + ... + 2813819370.

It is an arithmetic number, because the mean of its divisors is an integer number (718012316385).

Almost surely, 2^{101232132320214} is an apocalyptic number.

101232132320214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101232132320214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137858364745920).

101232132320214 is an abundant number, since it is smaller than the sum of its proper divisors (174484597171626).

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

101232132320214 is a wasteful number, since it uses less digits than its factorization.

101232132320214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36781 (or 36768 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101232132320214 its reverse (412023231232101), we get a palindrome (513255363552315).

The spelling of 101232132320214 in words is "one hundred one trillion, two hundred thirty-two billion, one hundred thirty-two million, three hundred twenty thousand, two hundred fourteen".