101211202121220 has 144 divisors (see below), whose sum is σ = 314185567567872. Its totient is φ = 26358752609280.

The previous prime is 101211202121189. The next prime is 101211202121221. The reversal of 101211202121220 is 22121202112101.

101211202121220 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 20 + 212 + 1 + 220 = 666.

It is a super-3 number, since 3×101211202121220³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101211202121193 and 101211202121202.

It is not an unprimeable number, because it can be changed into a prime (101211202121221) 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 47 ways as a sum of consecutive naturals, for example, 62600124 + ... + 64196556.

Almost surely, 2^{101211202121220} is an apocalyptic number.

101211202121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211202121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157092783783936).

101211202121220 is an abundant number, since it is smaller than the sum of its proper divisors (212974365446652).

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

101211202121220 is a wasteful number, since it uses less digits than its factorization.

101211202121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604682 (or 1604677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101211202121220 its reverse (22121202112101), we get a palindrome (123332404233321).

The spelling of 101211202121220 in words is "one hundred one trillion, two hundred eleven billion, two hundred two million, one hundred twenty-one thousand, two hundred twenty".