101275130880 has 2112 divisors, whose sum is σ = 490003458048. Its totient is φ = 18685624320.

The previous prime is 101275130851. The next prime is 101275130899. The reversal of 101275130880 is 88031572101.

101275130880 is a `hidden beast` number, since 1 + 0 + 1 + 275 + 1 + 308 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×101275130880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1387330524 + ... + 1387330596.

Almost surely, 2^101275130880 is an apocalyptic number.

101275130880 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 101275130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245001729024).

101275130880 is an abundant number, since it is smaller than the sum of its proper divisors (388728327168).

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

101275130880 is a wasteful number, since it uses less digits than its factorization.

101275130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 101275130880 in words is "one hundred one billion, two hundred seventy-five million, one hundred thirty thousand, eight hundred eighty".