10101201114004 has 96 divisors (see below), whose sum is σ = 23736616114176. Its totient is φ = 3632443678080.

The previous prime is 10101201114001. The next prime is 10101201114047. The reversal of 10101201114004 is 40041110210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101201114001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42592417 + ... + 42828919.

It is an arithmetic number, because the mean of its divisors is an integer number (247256417856).

Almost surely, 2^{10101201114004} is an apocalyptic number.

10101201114004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10101201114004 is an abundant number, since it is smaller than the sum of its proper divisors (13635415000172).

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

10101201114004 is a wasteful number, since it uses less digits than its factorization.

10101201114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247205 (or 247203 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10101201114004 its reverse (40041110210101), we get a palindrome (50142311324105).

The spelling of 10101201114004 in words is "ten trillion, one hundred one billion, two hundred one million, one hundred fourteen thousand, four".