101001201100100 has 36 divisors (see below), whose sum is σ = 250482978729984. Its totient is φ = 34628983234080.

The previous prime is 101001201100081. The next prime is 101001201100159. The reversal of 101001201100100 is 1001102100101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72143714372 + ... + 72143715771.

Almost surely, 2^{101001201100100} is an apocalyptic number.

101001201100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001201100100 is an abundant number, since it is smaller than the sum of its proper divisors (149481777629884).

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

101001201100100 is a wasteful number, since it uses less digits than its factorization.

101001201100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144287430164 (or 144287430157 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101001201100100 its reverse (1001102100101), we get a palindrome (102002303200201).

The spelling of 101001201100100 in words is "one hundred one trillion, one billion, two hundred one million, one hundred thousand, one hundred".