101125734127572 has 192 divisors, whose sum is σ = 295890223749120. Its totient is φ = 26114158425600.

The previous prime is 101125734127567. The next prime is 101125734127589. The reversal of 101125734127572 is 275721437521101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 625244458 + ... + 625406174.

It is an arithmetic number, because the mean of its divisors is an integer number (1541094915360).

Almost surely, 2^{101125734127572} is an apocalyptic number.

101125734127572 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 101125734127572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147945111874560).

101125734127572 is an abundant number, since it is smaller than the sum of its proper divisors (194764489621548).

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

101125734127572 is a wasteful number, since it uses less digits than its factorization.

101125734127572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165662 (or 165660 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The spelling of 101125734127572 in words is "one hundred one trillion, one hundred twenty-five billion, seven hundred thirty-four million, one hundred twenty-seven thousand, five hundred seventy-two".