101011112020200 has 384 divisors, whose sum is σ = 332798137056000. Its totient is φ = 25296109977600.

The previous prime is 101011112020193. The next prime is 101011112020213. The reversal of 101011112020200 is 2020211110101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2054341216 + ... + 2054390384.

It is an arithmetic number, because the mean of its divisors is an integer number (866661815250).

Almost surely, 2^{101011112020200} is an apocalyptic number.

101011112020200 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 101011112020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166399068528000).

101011112020200 is an abundant number, since it is smaller than the sum of its proper divisors (231787025035800).

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

101011112020200 is a wasteful number, since it uses less digits than its factorization.

101011112020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52445 (or 52436 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101011112020200 its reverse (2020211110101), we get a palindrome (103031323130301).

It can be divided in two parts, 101011 and 112020200, that added together give a palindrome (112121211).

The spelling of 101011112020200 in words is "one hundred one trillion, eleven billion, one hundred twelve million, twenty thousand, two hundred".