10202477420201 has 4 divisors (see below), whose sum is σ = 11129975367504. Its totient is φ = 9274979472900.

The previous prime is 10202477420189. The next prime is 10202477420243.

10202477420201 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10202477420201 - 2⁶ = 10202477420137 is a prime.

It is a super-2 number, since 2×10202477420201² (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 (10202477420501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 463748973635 + ... + 463748973656.

It is an arithmetic number, because the mean of its divisors is an integer number (2782493841876).

Almost surely, 2^{10202477420201} is an apocalyptic number.

10202477420201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10202477420201 is a deficient number, since it is larger than the sum of its proper divisors (927497947303).

10202477420201 is an equidigital number, since it uses as much as digits as its factorization.

10202477420201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927497947302.

The product of its (nonzero) digits is 12544, while the sum is 32.

It can be divided in two parts, 1020247 and 7420201, that added together give a palindrome (8440448).

The spelling of 10202477420201 in words is "ten trillion, two hundred two billion, four hundred seventy-seven million, four hundred twenty thousand, two hundred one".