101060825121984 has 336 divisors, whose sum is σ = 335111442478848. Its totient is φ = 26642326136832.

The previous prime is 101060825121941. The next prime is 101060825122091. The reversal of 101060825121984 is 489121528060101.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296172079 + ... + 296513105.

It is an arithmetic number, because the mean of its divisors is an integer number (997355483568).

Almost surely, 2^{101060825121984} is an apocalyptic number.

101060825121984 is a gapful number since it is divisible by the number (14) 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 101060825121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167555721239424).

101060825121984 is an abundant number, since it is smaller than the sum of its proper divisors (234050617356864).

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

101060825121984 is a wasteful number, since it uses less digits than its factorization.

101060825121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343492 (or 343475 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 101060825121984 in words is "one hundred one trillion, sixty billion, eight hundred twenty-five million, one hundred twenty-one thousand, nine hundred eighty-four".