101631773112 has 128 divisors (see below), whose sum is σ = 269671680000. Its totient is φ = 31850932608.

The previous prime is 101631773107. The next prime is 101631773137. The reversal of 101631773112 is 211377136101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18452263 + ... + 18457769.

It is an arithmetic number, because the mean of its divisors is an integer number (2106810000).

Almost surely, 2^101631773112 is an apocalyptic number.

101631773112 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 101631773112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134835840000).

101631773112 is an abundant number, since it is smaller than the sum of its proper divisors (168039906888).

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

101631773112 is a wasteful number, since it uses less digits than its factorization.

101631773112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 101631773112 in words is "one hundred one billion, six hundred thirty-one million, seven hundred seventy-three thousand, one hundred twelve".