101121121110200 has 48 divisors (see below), whose sum is σ = 235116856647360. Its totient is φ = 40446684992000.

The previous prime is 101121121110181. The next prime is 101121121110239. The reversal of 101121121110200 is 2011121121101.

It is a super-2 number, since 2×101121121110200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6417896 + ... + 15602295.

It is an arithmetic number, because the mean of its divisors is an integer number (4898267846820).

Almost surely, 2^{101121121110200} is an apocalyptic number.

101121121110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121121110200 is an abundant number, since it is smaller than the sum of its proper divisors (133995735537160).

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

101121121110200 is a wasteful number, since it uses less digits than its factorization.

101121121110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22043168 (or 22043159 counting only the distinct ones).

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

Adding to 101121121110200 its reverse (2011121121101), we get a palindrome (103132242231301).

The spelling of 101121121110200 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred ten thousand, two hundred".