10187653801281 has 24 divisors (see below), whose sum is σ = 14994746413920. Its totient is φ = 6147836291520.

The previous prime is 10187653801277. The next prime is 10187653801307. The reversal of 10187653801281 is 18210835678101.

It is a happy number.

It is not a de Polignac number, because 10187653801281 - 2² = 10187653801277 is a prime.

It is a super-2 number, since 2×10187653801281² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10187653801201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60141091 + ... + 60310248.

It is an arithmetic number, because the mean of its divisors is an integer number (624781100580).

Almost surely, 2^{10187653801281} is an apocalyptic number.

10187653801281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10187653801281 is a deficient number, since it is larger than the sum of its proper divisors (4807092612639).

10187653801281 is a wasteful number, since it uses less digits than its factorization.

10187653801281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120451597 (or 120451586 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 51.

The spelling of 10187653801281 in words is "ten trillion, one hundred eighty-seven billion, six hundred fifty-three million, eight hundred one thousand, two hundred eighty-one".