10010021940 has 144 divisors (see below), whose sum is σ = 33842128320. Its totient is φ = 2380078080.

The previous prime is 10010021939. The next prime is 10010021953. The reversal of 10010021940 is 4912001001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27946 + ... + 144225.

It is an arithmetic number, because the mean of its divisors is an integer number (235014780).

Almost surely, 2^10010021940 is an apocalyptic number.

10010021940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010021940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16921064160).

10010021940 is an abundant number, since it is smaller than the sum of its proper divisors (23832106380).

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

10010021940 is a wasteful number, since it uses less digits than its factorization.

10010021940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172222 (or 172217 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10010021940 its reverse (4912001001), we get a palindrome (14922022941).

The spelling of 10010021940 in words is "ten billion, ten million, twenty-one thousand, nine hundred forty".