101001110211120 has 80 divisors (see below), whose sum is σ = 357832504753920. Its totient is φ = 23085968047872.

The previous prime is 101001110211107. The next prime is 101001110211143. The reversal of 101001110211120 is 21112011100101.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 101001110211096 and 101001110211105.

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, 30059852550 + ... + 30059855909.

It is an arithmetic number, because the mean of its divisors is an integer number (4472906309424).

Almost surely, 2^{101001110211120} is an apocalyptic number.

101001110211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001110211120 is an abundant number, since it is smaller than the sum of its proper divisors (256831394542800).

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

101001110211120 is a wasteful number, since it uses less digits than its factorization.

101001110211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60119708482 (or 60119708476 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101001110211120 its reverse (21112011100101), we get a palindrome (122113121311221).

The spelling of 101001110211120 in words is "one hundred one trillion, one billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".