101200202212021 has 16 divisors (see below), whose sum is σ = 115211998937088. Its totient is φ = 87991185818800.

The previous prime is 101200202212003. The next prime is 101200202212027. The reversal of 101200202212021 is 120212202002101.

It is a happy number.

It is not a de Polignac number, because 101200202212021 - 2²³ = 101200193823413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101200202211986 and 101200202212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200202212027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17949841 + ... + 22904086.

It is an arithmetic number, because the mean of its divisors is an integer number (7200749933568).

Almost surely, 2^{101200202212021} is an apocalyptic number.

101200202212021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200202212021 is a deficient number, since it is larger than the sum of its proper divisors (14011796725067).

101200202212021 is a wasteful number, since it uses less digits than its factorization.

101200202212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40863752.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101200202212021 its reverse (120212202002101), we get a palindrome (221412404214122).

The spelling of 101200202212021 in words is "one hundred one trillion, two hundred billion, two hundred two million, two hundred twelve thousand, twenty-one".