101214268784640 has 768 divisors, whose sum is σ = 383335339289760. Its totient is φ = 24500439613440.

The previous prime is 101214268784639. The next prime is 101214268784647. The reversal of 101214268784640 is 46487862412101.

101214268784640 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 426 + 87 + 84 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×101214268784640² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101214268784647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11889373024 + ... + 11889381536.

Almost surely, 2^{101214268784640} is an apocalyptic number.

101214268784640 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 101214268784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191667669644880).

101214268784640 is an abundant number, since it is smaller than the sum of its proper divisors (282121070505120).

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

101214268784640 is an equidigital number, since it uses as much as digits as its factorization.

101214268784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9298 (or 9267 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 101214268784640 in words is "one hundred one trillion, two hundred fourteen billion, two hundred sixty-eight million, seven hundred eighty-four thousand, six hundred forty".