101200210212020 has 12 divisors (see below), whose sum is σ = 212520441445284. Its totient is φ = 40480084084800.

The previous prime is 101200210211999. The next prime is 101200210212041. The reversal of 101200210212020 is 20212012002101.

It is an interprime number because it is at equal distance from previous prime (101200210211999) and next prime (101200210212041).

It can be written as a sum of positive squares in 2 ways, for example, as 57411868551844 + 43788341660176 = 7577062^2 + 6617276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101200210211986 and 101200210212004.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2530005255281 + ... + 2530005255320.

It is an arithmetic number, because the mean of its divisors is an integer number (17710036787107).

Almost surely, 2^{101200210212020} is an apocalyptic number.

101200210212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200210212020 is an abundant number, since it is smaller than the sum of its proper divisors (111320231233264).

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

101200210212020 is a wasteful number, since it uses less digits than its factorization.

101200210212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060010510610 (or 5060010510608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101200210212020 its reverse (20212012002101), we get a palindrome (121412222214121).

The spelling of 101200210212020 in words is "one hundred one trillion, two hundred billion, two hundred ten million, two hundred twelve thousand, twenty".