101227981332192 has 768 divisors, whose sum is σ = 332670245806080. Its totient is φ = 26495083929600.

The previous prime is 101227981332187. The next prime is 101227981332197. The reversal of 101227981332192 is 291233189722101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101227981332187) and next prime (101227981332197).

It is a super-2 number, since 2×101227981332192² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101227981332197) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10665676567 + ... + 10665686057.

It is an arithmetic number, because the mean of its divisors is an integer number (433164382560).

Almost surely, 2^{101227981332192} is an apocalyptic number.

101227981332192 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 101227981332192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166335122903040).

101227981332192 is an abundant number, since it is smaller than the sum of its proper divisors (231442264473888).

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

101227981332192 is a wasteful number, since it uses less digits than its factorization.

101227981332192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10047 (or 10039 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 101227981332192 in words is "one hundred one trillion, two hundred twenty-seven billion, nine hundred eighty-one million, three hundred thirty-two thousand, one hundred ninety-two".