101941925989632 has 288 divisors, whose sum is σ = 283992205679616. Its totient is φ = 32423804928000.

The previous prime is 101941925989621. The next prime is 101941925989637. The reversal of 101941925989632 is 236989529149101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101941925989637) 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, 7078801632 + ... + 7078816032.

Almost surely, 2^{101941925989632} is an apocalyptic number.

101941925989632 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 101941925989632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141996102839808).

101941925989632 is an abundant number, since it is smaller than the sum of its proper divisors (182050279689984).

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

101941925989632 is a wasteful number, since it uses less digits than its factorization.

101941925989632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18597 (or 18583 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 69.

The spelling of 101941925989632 in words is "one hundred one trillion, nine hundred forty-one billion, nine hundred twenty-five million, nine hundred eighty-nine thousand, six hundred thirty-two".