101022120020200 has 96 divisors (see below), whose sum is σ = 238805247015000. Its totient is φ = 39733357363200.

The previous prime is 101022120020197. The next prime is 101022120020287. The reversal of 101022120020200 is 2020021220101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 717127823556 + 100304992196644 = 846834^2 + 10015238^2 .

It is a super-3 number, since 3×101022120020200³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35839896 + ... + 38555704.

Almost surely, 2^{101022120020200} is an apocalyptic number.

101022120020200 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 101022120020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119402623507500).

101022120020200 is an abundant number, since it is smaller than the sum of its proper divisors (137783126994800).

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

101022120020200 is a wasteful number, since it uses less digits than its factorization.

101022120020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718935 (or 2718926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101022120020200 its reverse (2020021220101), we get a palindrome (103042141240301).

The spelling of 101022120020200 in words is "one hundred one trillion, twenty-two billion, one hundred twenty million, twenty thousand, two hundred".