101011063989672 has 384 divisors, whose sum is σ = 287409206448000. Its totient is φ = 33234454794240.

The previous prime is 101011063989659. The next prime is 101011063989683. The reversal of 101011063989672 is 276989360110101.

It is a super-2 number, since 2×101011063989672² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25709100604 + ... + 25709104532.

It is an arithmetic number, because the mean of its divisors is an integer number (748461475125).

Almost surely, 2^{101011063989672} is an apocalyptic number.

101011063989672 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 101011063989672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143704603224000).

101011063989672 is an abundant number, since it is smaller than the sum of its proper divisors (186398142458328).

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

101011063989672 is a wasteful number, since it uses less digits than its factorization.

101011063989672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 101011063989672 in words is "one hundred one trillion, eleven billion, sixty-three million, nine hundred eighty-nine thousand, six hundred seventy-two".