10071920401 has 8 divisors (see below), whose sum is σ = 10380302240. Its totient is φ = 9766909152.

The previous prime is 10071920393. The next prime is 10071920431. The reversal of 10071920401 is 10402917001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10071920401 - 2³ = 10071920393 is a prime.

It is a super-3 number, since 3×10071920401³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10071920431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 836580 + ... + 848533.

It is an arithmetic number, because the mean of its divisors is an integer number (1297537780).

Almost surely, 2^10071920401 is an apocalyptic number.

It is an amenable number.

10071920401 is a deficient number, since it is larger than the sum of its proper divisors (308381839).

10071920401 is a wasteful number, since it uses less digits than its factorization.

10071920401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685295.

The product of its (nonzero) digits is 504, while the sum is 25.

The spelling of 10071920401 in words is "ten billion, seventy-one million, nine hundred twenty thousand, four hundred one".