101122010000200 has 72 divisors (see below), whose sum is σ = 273493762787250. Its totient is φ = 34670403425280.

The previous prime is 101122010000171. The next prime is 101122010000201. The reversal of 101122010000200 is 2000010221101.

It can be written as a sum of positive squares in 3 ways, for example, as 49034698140484 + 52087311859716 = 7002478^2 + 7217154^2 .

It is a super-3 number, since 3×101122010000200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101122010000201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5159276425 + ... + 5159296024.

Almost surely, 2^{101122010000200} is an apocalyptic number.

101122010000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122010000200 is an abundant number, since it is smaller than the sum of its proper divisors (172371752787050).

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

101122010000200 is a wasteful number, since it uses less digits than its factorization.

101122010000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10318572479 (or 10318572463 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101122010000200 its reverse (2000010221101), we get a palindrome (103122020221301).

The spelling of 101122010000200 in words is "one hundred one trillion, one hundred twenty-two billion, ten million, two hundred", and thus it is an aban number.