10201140120040 has 64 divisors (see below), whose sum is σ = 23377255450560. Its totient is φ = 4005485406720.

The previous prime is 10201140120037. The next prime is 10201140120071. The reversal of 10201140120040 is 4002104110201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10201140119996 and 10201140120023.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7662414 + ... + 8894653.

It is an arithmetic number, because the mean of its divisors is an integer number (365269616415).

Almost surely, 2^{10201140120040} is an apocalyptic number.

10201140120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201140120040 is an abundant number, since it is smaller than the sum of its proper divisors (13176115330520).

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

10201140120040 is a wasteful number, since it uses less digits than its factorization.

10201140120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16557362 (or 16557358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10201140120040 its reverse (4002104110201), we get a palindrome (14203244230241).

The spelling of 10201140120040 in words is "ten trillion, two hundred one billion, one hundred forty million, one hundred twenty thousand, forty".