101221200012100 has 36 divisors (see below), whose sum is σ = 251028576031744. Its totient is φ = 34704411432480.

The previous prime is 101221200012073. The next prime is 101221200012109. The reversal of 101221200012100 is 1210002122101.

It is a super-3 number, since 3×101221200012100³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101221200012109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72300856452 + ... + 72300857851.

Almost surely, 2^{101221200012100} is an apocalyptic number.

101221200012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221200012100 is an abundant number, since it is smaller than the sum of its proper divisors (149807376019644).

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

101221200012100 is a wasteful number, since it uses less digits than its factorization.

101221200012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144601714324 (or 144601714317 counting only the distinct ones).

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

Adding to 101221200012100 its reverse (1210002122101), we get a palindrome (102431202134201).

It can be divided in two parts, 10122120001 and 2100, that added together give a palindrome (10122122101).

The spelling of 101221200012100 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred million, twelve thousand, one hundred".