14440101121100 has 36 divisors (see below), whose sum is σ = 31422303687600. Its totient is φ = 5759951184960.

The previous prime is 14440101121091. The next prime is 14440101121109. The reversal of 14440101121100 is 112110104441.

It is an interprime number because it is at equal distance from previous prime (14440101121091) and next prime (14440101121109).

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

It is not an unprimeable number, because it can be changed into a prime (14440101121109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201079715 + ... + 201151514.

It is an arithmetic number, because the mean of its divisors is an integer number (872841769100).

Almost surely, 2^{14440101121100} is an apocalyptic number.

14440101121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14440101121100 is an abundant number, since it is smaller than the sum of its proper divisors (16982202566500).

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

14440101121100 is a wasteful number, since it uses less digits than its factorization.

14440101121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402231602 (or 402231595 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 14440101121100 its reverse (112110104441), we get a palindrome (14552211225541).

The spelling of 14440101121100 in words is "fourteen trillion, four hundred forty billion, one hundred one million, one hundred twenty-one thousand, one hundred".