101110221121200 has 120 divisors (see below), whose sum is σ = 323902114921488. Its totient is φ = 26961695600640.

The previous prime is 101110221121183. The next prime is 101110221121219. The reversal of 101110221121200 is 2121122011101.

It is a happy number.

101110221121200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×101110221121200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101110221121200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30075372 + ... + 33267828.

Almost surely, 2^{101110221121200} is an apocalyptic number.

101110221121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110221121200 is an abundant number, since it is smaller than the sum of its proper divisors (222791893800288).

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

101110221121200 is a wasteful number, since it uses less digits than its factorization.

101110221121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218871 (or 3218860 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101110221121200 its reverse (2121122011101), we get a palindrome (103231343132301).

The spelling of 101110221121200 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred".