10201001040 has 60 divisors (see below), whose sum is σ = 34258364244. Its totient is φ = 2720266752.

The previous prime is 10201001039. The next prime is 10201001071. The reversal of 10201001040 is 4010010201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8119451664 + 2081549376 = 90108^2 + 45624^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7083309 + ... + 7084748.

Almost surely, 2^10201001040 is an apocalyptic number.

10201001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201001040 is an abundant number, since it is smaller than the sum of its proper divisors (24057363204).

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

10201001040 is a wasteful number, since it uses less digits than its factorization.

10201001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14168076 (or 14168067 counting only the distinct ones).

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

Adding to 10201001040 its reverse (4010010201), we get a palindrome (14211011241).

The spelling of 10201001040 in words is "ten billion, two hundred one million, one thousand, forty".