10201010011120 has 80 divisors (see below), whose sum is σ = 24176027644128. Its totient is φ = 4002246579200.

The previous prime is 10201010011103. The next prime is 10201010011217. The reversal of 10201010011120 is 2111001010201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10201010011097 and 10201010011106.

It is a congruent number.

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, 5034979 + ... + 6764098.

Almost surely, 2^{10201010011120} is an apocalyptic number.

10201010011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201010011120 is an abundant number, since it is smaller than the sum of its proper divisors (13975017633008).

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

10201010011120 is a wasteful number, since it uses less digits than its factorization.

10201010011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11799298 (or 11799292 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10201010011120 its reverse (2111001010201), we get a palindrome (12312011021321).

The spelling of 10201010011120 in words is "ten trillion, two hundred one billion, ten million, eleven thousand, one hundred twenty".