10001101109952 has 56 divisors (see below), whose sum is σ = 26461758502336. Its totient is φ = 3333635889408.

The previous prime is 10001101109869. The next prime is 10001101109953. The reversal of 10001101109952 is 25990110110001.

It is a super-2 number, since 2×10001101109952² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001101109953) 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, 10019643 + ... + 10972485.

Almost surely, 2^{10001101109952} is an apocalyptic number.

10001101109952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001101109952 is an abundant number, since it is smaller than the sum of its proper divisors (16460657392384).

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

10001101109952 is an equidigital number, since it uses as much as digits as its factorization.

10001101109952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007525 (or 1007515 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 30.

Adding to 10001101109952 its reverse (25990110110001), we get a palindrome (35991211219953).

The spelling of 10001101109952 in words is "ten trillion, one billion, one hundred one million, one hundred nine thousand, nine hundred fifty-two".