101020040 has 32 divisors (see below), whose sum is σ = 247959360. Its totient is φ = 36734400.

The previous prime is 101020037. The next prime is 101020043. The reversal of 101020040 is 40020101.

It is an interprime number because it is at equal distance from previous prime (101020037) and next prime (101020043).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (101020043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114356 + ... + 115235.

It is an arithmetic number, because the mean of its divisors is an integer number (7748730).

Almost surely, 2^101020040 is an apocalyptic number.

101020040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020040 is an abundant number, since it is smaller than the sum of its proper divisors (146939320).

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

101020040 is a wasteful number, since it uses less digits than its factorization.

101020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229613 (or 229609 counting only the distinct ones).

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

The square root of 101020040 is about 10050.8725989339. The cubic root of 101020040 is about 465.7317495588.

Adding to 101020040 its reverse (40020101), we get a palindrome (141040141).

The spelling of 101020040 in words is "one hundred one million, twenty thousand, forty".