101941969248 has 216 divisors, whose sum is σ = 337478876280. Its totient is φ = 29104588800.

The previous prime is 101941969247. The next prime is 101941969249. The reversal of 101941969248 is 842969149101.

It is an interprime number because it is at equal distance from previous prime (101941969247) and next prime (101941969249).

It is a junction number, because it is equal to n+sod(n) for n = 101941969194 and 101941969203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101941969247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36393448 + ... + 36396248.

It is an arithmetic number, because the mean of its divisors is an integer number (1562402205).

Almost surely, 2^101941969248 is an apocalyptic number.

101941969248 is a gapful number since it is divisible by the number (18) 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 101941969248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739438140).

101941969248 is an abundant number, since it is smaller than the sum of its proper divisors (235536907032).

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

101941969248 is a wasteful number, since it uses less digits than its factorization.

101941969248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 5392 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 101941969248 in words is "one hundred one billion, nine hundred forty-one million, nine hundred sixty-nine thousand, two hundred forty-eight".