10420100102401 has 16 divisors (see below), whose sum is σ = 11966215320000. Its totient is φ = 8973836294400.

The previous prime is 10420100102393. The next prime is 10420100102407.

It is a happy number.

10420100102401 is nontrivially palindromic in base 10.

10420100102401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10420100102401 - 2³ = 10420100102393 is a prime.

It is a super-2 number, since 2×10420100102401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10420100102407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3454725 + ... + 5724973.

It is an arithmetic number, because the mean of its divisors is an integer number (747888457500).

Almost surely, 2^{10420100102401} is an apocalyptic number.

10420100102401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10420100102401 is a deficient number, since it is larger than the sum of its proper divisors (1546115217599).

10420100102401 is a wasteful number, since it uses less digits than its factorization.

10420100102401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292240.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 10420100 and 102401, that added together give a palindrome (10522501).

The spelling of 10420100102401 in words is "ten trillion, four hundred twenty billion, one hundred million, one hundred two thousand, four hundred one".