101012221200100 has 72 divisors (see below), whose sum is σ = 252942447675008. Its totient is φ = 34296521126400.

The previous prime is 101012221200091. The next prime is 101012221200103. The reversal of 101012221200100 is 1002122210101.

It is not an unprimeable number, because it can be changed into a prime (101012221200103) 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, 700428741 + ... + 700572940.

Almost surely, 2^{101012221200100} is an apocalyptic number.

101012221200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012221200100 is an abundant number, since it is smaller than the sum of its proper divisors (151930226474908).

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

101012221200100 is a wasteful number, since it uses less digits than its factorization.

101012221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401001805 (or 1401001798 counting only the distinct ones).

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

Adding to 101012221200100 its reverse (1002122210101), we get a palindrome (102014343410201).

The spelling of 101012221200100 in words is "one hundred one trillion, twelve billion, two hundred twenty-one million, two hundred thousand, one hundred".