200101111211120 has 160 divisors (see below), whose sum is σ = 534400613600256. Its totient is φ = 68257681459200.

The previous prime is 200101111211087. The next prime is 200101111211143. The reversal of 200101111211120 is 21112111101002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 200101111211095 and 200101111211104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187733285 + ... + 188796155.

Almost surely, 2^{200101111211120} is an apocalyptic number.

200101111211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200101111211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267200306800128).

200101111211120 is an abundant number, since it is smaller than the sum of its proper divisors (334299502389136).

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

200101111211120 is a wasteful number, since it uses less digits than its factorization.

200101111211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064599 (or 1064593 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 200101111211120 its reverse (21112111101002), we get a palindrome (221213222312122).

The spelling of 200101111211120 in words is "two hundred trillion, one hundred one billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty".