101812267425960 has 3840 divisors, whose sum is σ = 473793575270400. Its totient is φ = 19357238476800.

The previous prime is 101812267425949. The next prime is 101812267425961. The reversal of 101812267425960 is 69524762218101.

101812267425960 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 1 + 2 + 2 + 6 + 7 + 42 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 101812267425897 and 101812267425906.

It is not an unprimeable number, because it can be changed into a prime (101812267425961) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 74153143834 + ... + 74153145206.

It is an arithmetic number, because the mean of its divisors is an integer number (123383743560).

Almost surely, 2^{101812267425960} is an apocalyptic number.

101812267425960 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 101812267425960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236896787635200).

101812267425960 is an abundant number, since it is smaller than the sum of its proper divisors (371981307844440).

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

101812267425960 is a wasteful number, since it uses less digits than its factorization.

101812267425960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 101812267425960 in words is "one hundred one trillion, eight hundred twelve billion, two hundred sixty-seven million, four hundred twenty-five thousand, nine hundred sixty".