101151041940 has 72 divisors (see below), whose sum is σ = 330426744648. Its totient is φ = 24898717440.

The previous prime is 101151041923. The next prime is 101151041941. The reversal of 101151041940 is 49140151101.

101151041940 is a `hidden beast` number, since 10 + 11 + 510 + 41 + 94 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38489616 + 101112552324 = 6204^2 + 317982^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101151041941) 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 23 ways as a sum of consecutive naturals, for example, 21611131 + ... + 21615810.

Almost surely, 2^101151041940 is an apocalyptic number.

101151041940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101151041940 is an abundant number, since it is smaller than the sum of its proper divisors (229275702708).

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

101151041940 is a wasteful number, since it uses less digits than its factorization.

101151041940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43226969 (or 43226964 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 101151041940 in words is "one hundred one billion, one hundred fifty-one million, forty-one thousand, nine hundred forty".