101210122200100 has 18 divisors (see below), whose sum is σ = 219625965174434. Its totient is φ = 40484048880000.

The previous prime is 101210122200079. The next prime is 101210122200227. The reversal of 101210122200100 is 1002221012101.

It can be written as a sum of positive squares in 3 ways, for example, as 8148330102784 + 93061792097316 = 2854528^2 + 9646854^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506050610901 + ... + 506050611100.

Almost surely, 2^{101210122200100} is an apocalyptic number.

101210122200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210122200100 is an abundant number, since it is smaller than the sum of its proper divisors (118415842974334).

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

101210122200100 is a wasteful number, since it uses less digits than its factorization.

101210122200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012101222015 (or 1012101222008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101210122200100 its reverse (1002221012101), we get a palindrome (102212343212201).

The spelling of 101210122200100 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty-two million, two hundred thousand, one hundred".