101011122020200 has 144 divisors (see below), whose sum is σ = 273461983027200. Its totient is φ = 34598394633600.

The previous prime is 101011122020197. The next prime is 101011122020203. The reversal of 101011122020200 is 2020221110101.

It is an interprime number because it is at equal distance from previous prime (101011122020197) and next prime (101011122020203).

It is not an unprimeable number, because it can be changed into a prime (101011122020203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4928665 + ... + 15043735.

It is an arithmetic number, because the mean of its divisors is an integer number (1899041548800).

Almost surely, 2^{101011122020200} is an apocalyptic number.

101011122020200 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 101011122020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136730991513600).

101011122020200 is an abundant number, since it is smaller than the sum of its proper divisors (172450861007000).

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

101011122020200 is a wasteful number, since it uses less digits than its factorization.

101011122020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116120 (or 10116104 counting only the distinct ones).

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

Adding to 101011122020200 its reverse (2020221110101), we get a palindrome (103031343130301).

The spelling of 101011122020200 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, twenty thousand, two hundred".