102101040 has 80 divisors (see below), whose sum is σ = 351688800. Its totient is φ = 27226368.

The previous prime is 102101033. The next prime is 102101047. The reversal of 102101040 is 40101201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102101033) and next prime (102101047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102101047) 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 15 ways as a sum of consecutive naturals, for example, 21475 + ... + 25794.

It is an arithmetic number, because the mean of its divisors is an integer number (4396110).

Almost surely, 2^102101040 is an apocalyptic number.

102101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101040 is an abundant number, since it is smaller than the sum of its proper divisors (249587760).

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

102101040 is a wasteful number, since it uses less digits than its factorization.

102101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47291 (or 47279 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102101040 is about 10104.5059255760. The cubic root of 102101040 is about 467.3871003837.

Adding to 102101040 its reverse (40101201), we get a palindrome (142202241).

The spelling of 102101040 in words is "one hundred two million, one hundred one thousand, forty".