1371264420100 has 27 divisors (see below), whose sum is σ = 2975669202751. Its totient is φ = 548501084000.

The previous prime is 1371264420083. The next prime is 1371264420139. The reversal of 1371264420100 is 10244621731.

The square root of 1371264420100 is 1171010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 490579771396 + 880684648704 = 700414^2 + 938448^2 .

It is a super-2 number, since 2×1371264420100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11651550 + ... + 11768650.

Almost surely, 2^{1371264420100} is an apocalyptic number.

1371264420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1371264420100 is the 1171010-th square number.

It is an amenable number.

1371264420100 is an abundant number, since it is smaller than the sum of its proper divisors (1604404782651).

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

1371264420100 is an frugal number, since it uses more digits than its factorization.

1371264420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234216 (or 117108 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 1371264420100 in words is "one trillion, three hundred seventy-one billion, two hundred sixty-four million, four hundred twenty thousand, one hundred".