101101212121100 has 144 divisors (see below), whose sum is σ = 224035710796800. Its totient is φ = 39592656768000.

The previous prime is 101101212121051. The next prime is 101101212121103. The reversal of 101101212121100 is 1121212101101.

It is a super-2 number, since 2×101101212121100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101101212121103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913721780 + ... + 913832420.

It is an arithmetic number, because the mean of its divisors is an integer number (1555803547200).

Almost surely, 2^{101101212121100} is an apocalyptic number.

101101212121100 is a gapful number since it is divisible by the number (10) 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 101101212121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112017855398400).

101101212121100 is an abundant number, since it is smaller than the sum of its proper divisors (122934498675700).

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

101101212121100 is a wasteful number, since it uses less digits than its factorization.

101101212121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111624 (or 111617 counting only the distinct ones).

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

Adding to 101101212121100 its reverse (1121212101101), we get a palindrome (102222424222201).

The spelling of 101101212121100 in words is "one hundred one trillion, one hundred one billion, two hundred twelve million, one hundred twenty-one thousand, one hundred".