101212221111100 has 72 divisors (see below), whose sum is σ = 239663072331648. Its totient is φ = 36794284036800.

The previous prime is 101212221111037. The next prime is 101212221111107. The reversal of 101212221111100 is 1111122212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212221111107) 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, 8712894 + ... + 16683493.

It is an arithmetic number, because the mean of its divisors is an integer number (3328653782384).

Almost surely, 2^{101212221111100} is an apocalyptic number.

101212221111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212221111100 is an abundant number, since it is smaller than the sum of its proper divisors (138450851220548).

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

101212221111100 is a wasteful number, since it uses less digits than its factorization.

101212221111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25400035 (or 25400028 counting only the distinct ones).

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

Adding to 101212221111100 its reverse (1111122212101), we get a palindrome (102323343323201).

The spelling of 101212221111100 in words is "one hundred one trillion, two hundred twelve billion, two hundred twenty-one million, one hundred eleven thousand, one hundred".