101144201400004 has 48 divisors (see below), whose sum is σ = 203482874504448. Its totient is φ = 43091919497088.

The previous prime is 101144201399963. The next prime is 101144201400061. The reversal of 101144201400004 is 400004102441101.

It is a super-2 number, since 2×101144201400004² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867424 + ... + 14249239.

It is an arithmetic number, because the mean of its divisors is an integer number (4239226552176).

Almost surely, 2^{101144201400004} is an apocalyptic number.

101144201400004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101144201400004 is an abundant number, since it is smaller than the sum of its proper divisors (102338673104444).

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

101144201400004 is a wasteful number, since it uses less digits than its factorization.

101144201400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15118084 (or 15118082 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 101144201400004 its reverse (400004102441101), we get a palindrome (501148303841105).

The spelling of 101144201400004 in words is "one hundred one trillion, one hundred forty-four billion, two hundred one million, four hundred thousand, four".