101221010201100 has 72 divisors (see below), whose sum is σ = 292867256976448. Its totient is φ = 26992164859200.

The previous prime is 101221010201093. The next prime is 101221010201119. The reversal of 101221010201100 is 1102010122101.

It is a super-2 number, since 2×101221010201100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 105815955 + ... + 106768245.

Almost surely, 2^{101221010201100} is an apocalyptic number.

101221010201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221010201100 is an abundant number, since it is smaller than the sum of its proper divisors (191646246775348).

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

101221010201100 is a wasteful number, since it uses less digits than its factorization.

101221010201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306615 (or 1306608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101221010201100 its reverse (1102010122101), we get a palindrome (102323020323201).

The spelling of 101221010201100 in words is "one hundred one trillion, two hundred twenty-one billion, ten million, two hundred one thousand, one hundred".