101261361540 has 24 divisors (see below), whose sum is σ = 283531812480. Its totient is φ = 27003029728.

The previous prime is 101261361533. The next prime is 101261361541. The reversal of 101261361540 is 45163162101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101261361498 and 101261361507.

It is not an unprimeable number, because it can be changed into a prime (101261361541) 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 7 ways as a sum of consecutive naturals, for example, 843844620 + ... + 843844739.

It is an arithmetic number, because the mean of its divisors is an integer number (11813825520).

Almost surely, 2^101261361540 is an apocalyptic number.

101261361540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101261361540 is an abundant number, since it is smaller than the sum of its proper divisors (182270450940).

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

101261361540 is a wasteful number, since it uses less digits than its factorization.

101261361540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687689371 (or 1687689369 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 101261361540 in words is "one hundred one billion, two hundred sixty-one million, three hundred sixty-one thousand, five hundred forty".