101121212110200 has 96 divisors (see below), whose sum is σ = 323587878812160. Its totient is φ = 26095796668800.

The previous prime is 101121212110147. The next prime is 101121212110201. The reversal of 101121212110200 is 2011212121101.

It is a happy number.

It is a super-3 number, since 3×101121212110200³ (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 101121212110200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121212110201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2718293554 + ... + 2718330753.

It is an arithmetic number, because the mean of its divisors is an integer number (3370707070960).

Almost surely, 2^{101121212110200} is an apocalyptic number.

101121212110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121212110200 is an abundant number, since it is smaller than the sum of its proper divisors (222466666701960).

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

101121212110200 is a wasteful number, since it uses less digits than its factorization.

101121212110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436624357 (or 5436624348 counting only the distinct ones).

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

Adding to 101121212110200 its reverse (2011212121101), we get a palindrome (103132424231301).

The spelling of 101121212110200 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twelve million, one hundred ten thousand, two hundred".