101212201101100 has 72 divisors (see below), whose sum is σ = 232793938703088. Its totient is φ = 38063433676800.

The previous prime is 101212201101061. The next prime is 101212201101149. The reversal of 101212201101100 is 1101102212101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29616306 + ... + 32856505.

It is an arithmetic number, because the mean of its divisors is an integer number (3233249148654).

Almost surely, 2^{101212201101100} is an apocalyptic number.

101212201101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212201101100 is an abundant number, since it is smaller than the sum of its proper divisors (131581737601988).

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

101212201101100 is a wasteful number, since it uses less digits than its factorization.

101212201101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62473795 (or 62473788 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101212201101100 its reverse (1101102212101), we get a palindrome (102313303313201).

The spelling of 101212201101100 in words is "one hundred one trillion, two hundred twelve billion, two hundred one million, one hundred one thousand, one hundred".