101122640 has 20 divisors (see below), whose sum is σ = 235110324. Its totient is φ = 40449024.

The previous prime is 101122633. The next prime is 101122643. The reversal of 101122640 is 46221101.

It can be written as a sum of positive squares in 2 ways, for example, as 21270544 + 79852096 = 4612^2 + 8936^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 631937 + ... + 632096.

Almost surely, 2^101122640 is an apocalyptic number.

101122640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122640 is an abundant number, since it is smaller than the sum of its proper divisors (133987684).

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

101122640 is a wasteful number, since it uses less digits than its factorization.

101122640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264046 (or 1264040 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101122640 is about 10055.9753380764. The cubic root of 101122640 is about 465.8893681511.

Adding to 101122640 its reverse (46221101), we get a palindrome (147343741).

The spelling of 101122640 in words is "one hundred one million, one hundred twenty-two thousand, six hundred forty".