101211201200020 has 12 divisors (see below), whose sum is σ = 212543522520084. Its totient is φ = 40484480480000.

The previous prime is 101211201199963. The next prime is 101211201200029. The reversal of 101211201200020 is 20002102112101.

It can be written as a sum of positive squares in 2 ways, for example, as 53316662934276 + 47894538265744 = 7301826^2 + 6920588^2 .

It is a super-3 number, since 3×101211201200020³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211201200029) 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 3 ways as a sum of consecutive naturals, for example, 2530280029981 + ... + 2530280030020.

It is an arithmetic number, because the mean of its divisors is an integer number (17711960210007).

Almost surely, 2^{101211201200020} is an apocalyptic number.

101211201200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211201200020 is an abundant number, since it is smaller than the sum of its proper divisors (111332321320064).

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

101211201200020 is a wasteful number, since it uses less digits than its factorization.

101211201200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060560060010 (or 5060560060008 counting only the distinct ones).

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

Adding to 101211201200020 its reverse (20002102112101), we get a palindrome (121213303312121).

The spelling of 101211201200020 in words is "one hundred one trillion, two hundred eleven billion, two hundred one million, two hundred thousand, twenty".