10101627189072 has 160 divisors (see below), whose sum is σ = 29930243270400. Its totient is φ = 3259571922432.

The previous prime is 10101627189067. The next prime is 10101627189077. The reversal of 10101627189072 is 27098172610101.

It is a happy number.

10101627189072 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 627 + 18 + 9 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10101627189067) and next prime (10101627189077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101627189077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1544829 + ... + 4752867.

It is an arithmetic number, because the mean of its divisors is an integer number (187064020440).

Almost surely, 2^{10101627189072} is an apocalyptic number.

10101627189072 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 10101627189072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965121635200).

10101627189072 is an abundant number, since it is smaller than the sum of its proper divisors (19828616081328).

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

10101627189072 is a wasteful number, since it uses less digits than its factorization.

10101627189072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208290 (or 3208278 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

Adding to 10101627189072 its reverse (27098172610101), we get a palindrome (37199799799173).

The spelling of 10101627189072 in words is "ten trillion, one hundred one billion, six hundred twenty-seven million, one hundred eighty-nine thousand, seventy-two".