10142400021611 has 96 divisors (see below), whose sum is σ = 12429669373632. Its totient is φ = 8152755287040.

The previous prime is 10142400021557. The next prime is 10142400021613. The reversal of 10142400021611 is 11612000424101.

It is not a de Polignac number, because 10142400021611 - 2⁶ = 10142400021547 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10142400021613) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13398150245 + ... + 13398151001.

It is an arithmetic number, because the mean of its divisors is an integer number (129475722642).

Almost surely, 2^{10142400021611} is an apocalyptic number.

10142400021611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10142400021611 is a deficient number, since it is larger than the sum of its proper divisors (2287269352021).

10142400021611 is a wasteful number, since it uses less digits than its factorization.

10142400021611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 10142400021611 its reverse (11612000424101), we get a palindrome (21754400445712).

The spelling of 10142400021611 in words is "ten trillion, one hundred forty-two billion, four hundred million, twenty-one thousand, six hundred eleven".