101100121211100 has 72 divisors (see below), whose sum is σ = 319108746233088. Its totient is φ = 24509120292800.

The previous prime is 101100121211099. The next prime is 101100121211107. The reversal of 101100121211100 is 1112121001101.

It is a super-3 number, since 3×101100121211100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100121211107) 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, 15318196884 + ... + 15318203483.

It is an arithmetic number, because the mean of its divisors is an integer number (4432065919904).

Almost surely, 2^{101100121211100} is an apocalyptic number.

101100121211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100121211100 is an abundant number, since it is smaller than the sum of its proper divisors (218008625021988).

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

101100121211100 is a wasteful number, since it uses less digits than its factorization.

101100121211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30636400395 (or 30636400388 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101100121211100 its reverse (1112121001101), we get a palindrome (102212242212201).

The spelling of 101100121211100 in words is "one hundred one trillion, one hundred billion, one hundred twenty-one million, two hundred eleven thousand, one hundred".