101270238245280 has 960 divisors, whose sum is σ = 397515482800128. Its totient is φ = 24111313182720.

The previous prime is 101270238245203. The next prime is 101270238245287. The reversal of 101270238245280 is 82542832072101.

101270238245280 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 70 + 2 + 38 + 24 + 528 + 0 = 666.

It is a super-2 number, since 2×101270238245280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (101270238245287) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13354900369 + ... + 13354907951.

Almost surely, 2^{101270238245280} is an apocalyptic number.

101270238245280 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 101270238245280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198757741400064).

101270238245280 is an abundant number, since it is smaller than the sum of its proper divisors (296245244554848).

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

101270238245280 is a wasteful number, since it uses less digits than its factorization.

101270238245280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10211 (or 10194 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 101270238245280 in words is "one hundred one trillion, two hundred seventy billion, two hundred thirty-eight million, two hundred forty-five thousand, two hundred eighty".