101241962640 has 640 divisors, whose sum is σ = 444021580800. Its totient is φ = 20623196160.

The previous prime is 101241962629. The next prime is 101241962641. The reversal of 101241962640 is 46269142101.

101241962640 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 4 + 1 + 9 + 6 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101241962595 and 101241962604.

It is not an unprimeable number, because it can be changed into a prime (101241962641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5691360 + ... + 5709120.

It is an arithmetic number, because the mean of its divisors is an integer number (693783720).

Almost surely, 2^101241962640 is an apocalyptic number.

101241962640 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 101241962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222010790400).

101241962640 is an abundant number, since it is smaller than the sum of its proper divisors (342779618160).

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

101241962640 is a wasteful number, since it uses less digits than its factorization.

101241962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17832 (or 17820 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 101241962640 in words is "one hundred one billion, two hundred forty-one million, nine hundred sixty-two thousand, six hundred forty".