101200202211012 has 48 divisors (see below), whose sum is σ = 250025097696192. Its totient is φ = 31748947338240.

The previous prime is 101200202210993. The next prime is 101200202211067. The reversal of 101200202211012 is 210112202002101.

It is a super-3 number, since 3×101200202211012³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101200202210982 and 101200202211000.

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 15 ways as a sum of consecutive naturals, for example, 53697312 + ... + 55549992.

It is an arithmetic number, because the mean of its divisors is an integer number (5208856202004).

Almost surely, 2^{101200202211012} is an apocalyptic number.

101200202211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101200202211012 is an abundant number, since it is smaller than the sum of its proper divisors (148824895485180).

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

101200202211012 is a wasteful number, since it uses less digits than its factorization.

101200202211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120468 (or 2120466 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101200202211012 its reverse (210112202002101), we get a palindrome (311312404213113).

The spelling of 101200202211012 in words is "one hundred one trillion, two hundred billion, two hundred two million, two hundred eleven thousand, twelve".