10011401014100 has 72 divisors (see below), whose sum is σ = 22081980938808. Its totient is φ = 3938716108800.

The previous prime is 10011401014061. The next prime is 10011401014123. The reversal of 10011401014100 is 141010411001.

It can be written as a sum of positive squares in 12 ways, for example, as 4840343206084 + 5171057808016 = 2200078^2 + 2273996^2 .

It is a super-3 number, since 3×10011401014100³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220022552 + ... + 220068048.

Almost surely, 2^{10011401014100} is an apocalyptic number.

10011401014100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011401014100 is an abundant number, since it is smaller than the sum of its proper divisors (12070579924708).

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

10011401014100 is a wasteful number, since it uses less digits than its factorization.

10011401014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81645 (or 81638 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10011401014100 its reverse (141010411001), we get a palindrome (10152411425101).

The spelling of 10011401014100 in words is "ten trillion, eleven billion, four hundred one million, fourteen thousand, one hundred".