101221000200100 has 72 divisors (see below), whose sum is σ = 239619293071200. Its totient is φ = 36807393753600.

The previous prime is 101221000200091. The next prime is 101221000200109. The reversal of 101221000200100 is 1002000122101.

It is an interprime number because it is at equal distance from previous prime (101221000200091) and next prime (101221000200109).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101221000200109) 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, 331188156 + ... + 331493644.

It is an arithmetic number, because the mean of its divisors is an integer number (3328045737100).

Almost surely, 2^{101221000200100} is an apocalyptic number.

101221000200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221000200100 is an abundant number, since it is smaller than the sum of its proper divisors (138398292871100).

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

101221000200100 is a wasteful number, since it uses less digits than its factorization.

101221000200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606733 (or 606726 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101221000200100 its reverse (1002000122101), we get a palindrome (102223000322201).

The spelling of 101221000200100 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred thousand, one hundred".