101002110211120 has 80 divisors (see below), whose sum is σ = 235235752475040. Its totient is φ = 40331035809792.

The previous prime is 101002110211117. The next prime is 101002110211127. The reversal of 101002110211120 is 21112011200101.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101002110211120.

It is not an unprimeable number, because it can be changed into a prime (101002110211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458296474 + ... + 458516806.

It is an arithmetic number, because the mean of its divisors is an integer number (2940446905938).

Almost surely, 2^{101002110211120} is an apocalyptic number.

101002110211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002110211120 is an abundant number, since it is smaller than the sum of its proper divisors (134233642263920).

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

101002110211120 is a wasteful number, since it uses less digits than its factorization.

101002110211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230222 (or 230216 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101002110211120 its reverse (21112011200101), we get a palindrome (122114121411221).

The spelling of 101002110211120 in words is "one hundred one trillion, two billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".