10142551621601 has 32 divisors (see below), whose sum is σ = 12276842692608. Its totient is φ = 8191780882560.

The previous prime is 10142551621571. The next prime is 10142551621607. The reversal of 10142551621601 is 10612615524101.

It is a cyclic number.

It is not a de Polignac number, because 10142551621601 - 2³⁴ = 10125371752417 is a prime.

It is a super-4 number, since 4×10142551621601⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10142551621607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1566245 + ... + 4768461.

It is an arithmetic number, because the mean of its divisors is an integer number (383651334144).

Almost surely, 2^{10142551621601} is an apocalyptic number.

It is an amenable number.

10142551621601 is a deficient number, since it is larger than the sum of its proper divisors (2134291071007).

10142551621601 is a wasteful number, since it uses less digits than its factorization.

10142551621601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202541.

The product of its (nonzero) digits is 14400, while the sum is 35.

The spelling of 10142551621601 in words is "ten trillion, one hundred forty-two billion, five hundred fifty-one million, six hundred twenty-one thousand, six hundred one".