10270101620 has 24 divisors (see below), whose sum is σ = 21704590824. Its totient is φ = 4081873536.

The previous prime is 10270101617. The next prime is 10270101629. The reversal of 10270101620 is 2610107201.

It can be written as a sum of positive squares in 4 ways, for example, as 547747216 + 9722354404 = 23404^2 + 98602^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10270101592 and 10270101601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10270101629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1632227 + ... + 1638506.

It is an arithmetic number, because the mean of its divisors is an integer number (904357951).

Almost surely, 2^10270101620 is an apocalyptic number.

10270101620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10270101620 is an abundant number, since it is smaller than the sum of its proper divisors (11434489204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10270101620 is a wasteful number, since it uses less digits than its factorization.

10270101620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270899 (or 3270897 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 10270101620 its reverse (2610107201), we get a palindrome (12880208821).

The spelling of 10270101620 in words is "ten billion, two hundred seventy million, one hundred one thousand, six hundred twenty".