101008606988772 has 216 divisors, whose sum is σ = 298665657081792. Its totient is φ = 28699444368000.

The previous prime is 101008606988771. The next prime is 101008606988797. The reversal of 101008606988772 is 277889606800101.

101008606988772 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 8 + 606 + 9 + 8 + 8 + 7 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (101008606988771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264714522 + ... + 265095822.

Almost surely, 2^{101008606988772} is an apocalyptic number.

101008606988772 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 101008606988772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149332828540896).

101008606988772 is an abundant number, since it is smaller than the sum of its proper divisors (197657050093020).

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

101008606988772 is a wasteful number, since it uses less digits than its factorization.

101008606988772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382159 (or 382147 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 101008606988772 in words is "one hundred one trillion, eight billion, six hundred six million, nine hundred eighty-eight thousand, seven hundred seventy-two".