101001212122100 has 144 divisors (see below), whose sum is σ = 225516378528000. Its totient is φ = 39239977728000.

The previous prime is 101001212122081. The next prime is 101001212122103. The reversal of 101001212122100 is 1221212100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001212122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4555544015 + ... + 4555566185.

It is an arithmetic number, because the mean of its divisors is an integer number (1566085962000).

Almost surely, 2^{101001212122100} is an apocalyptic number.

101001212122100 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 101001212122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112758189264000).

101001212122100 is an abundant number, since it is smaller than the sum of its proper divisors (124515166405900).

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

101001212122100 is a wasteful number, since it uses less digits than its factorization.

101001212122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27114 (or 27107 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101001212122100 its reverse (1221212100101), we get a palindrome (102222424222201).

It can be divided in two parts, 10100121 and 2122100, that added together give a palindrome (12222221).

The spelling of 101001212122100 in words is "one hundred one trillion, one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".