10121142640 has 80 divisors (see below), whose sum is σ = 28062632448. Its totient is φ = 3319227648.

The previous prime is 10121142613. The next prime is 10121142653. The reversal of 10121142640 is 4624112101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 380022 + ... + 405781.

Almost surely, 2^10121142640 is an apocalyptic number.

10121142640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121142640 is an abundant number, since it is smaller than the sum of its proper divisors (17941489808).

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

10121142640 is a wasteful number, since it uses less digits than its factorization.

10121142640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785846 (or 785840 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10121142640 its reverse (4624112101), we get a palindrome (14745254741).

The spelling of 10121142640 in words is "ten billion, one hundred twenty-one million, one hundred forty-two thousand, six hundred forty".