101141140 has 24 divisors (see below), whose sum is σ = 212604840. Its totient is φ = 40416768.

The previous prime is 101141101. The next prime is 101141147. The reversal of 101141140 is 41141101.

It can be written as a sum of positive squares in 4 ways, for example, as 6895876 + 94245264 = 2626^2 + 9708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101141140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101141147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26896 + ... + 30424.

It is an arithmetic number, because the mean of its divisors is an integer number (8858535).

Almost surely, 2^101141140 is an apocalyptic number.

101141140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101141140 is an abundant number, since it is smaller than the sum of its proper divisors (111463700).

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

101141140 is a wasteful number, since it uses less digits than its factorization.

101141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 101141140 is about 10056.8951471118. The cubic root of 101141140 is about 465.9177773111.

Adding to 101141140 its reverse (41141101), we get a palindrome (142282241).

The spelling of 101141140 in words is "one hundred one million, one hundred forty-one thousand, one hundred forty".