101252110531320 has 576 divisors, whose sum is σ = 384266766312000. Its totient is φ = 23054510739456.

The previous prime is 101252110531309. The next prime is 101252110531333. The reversal of 101252110531320 is 23135011252101.

101252110531320 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 521 + 1 + 0 + 5 + 3 + 132 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5647384116 + ... + 5647402044.

It is an arithmetic number, because the mean of its divisors is an integer number (667129802625).

Almost surely, 2^{101252110531320} is an apocalyptic number.

101252110531320 is a gapful number since it is divisible by the number (10) 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 101252110531320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192133383156000).

101252110531320 is an abundant number, since it is smaller than the sum of its proper divisors (283014655780680).

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

101252110531320 is a wasteful number, since it uses less digits than its factorization.

101252110531320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19172 (or 19158 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 101252110531320 its reverse (23135011252101), we get a palindrome (124387121783421).

The spelling of 101252110531320 in words is "one hundred one trillion, two hundred fifty-two billion, one hundred ten million, five hundred thirty-one thousand, three hundred twenty".