101012110212200 has 144 divisors (see below), whose sum is σ = 258160913167500. Its totient is φ = 36729323699200.

The previous prime is 101012110212173. The next prime is 101012110212259. The reversal of 101012110212200 is 2212011210101.

It can be written as a sum of positive squares in 6 ways, for example, as 68835330450436 + 32176779761764 = 8296706^2 + 5672458^2 .

It is an unprimeable number.

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, 402780446 + ... + 403031154.

Almost surely, 2^{101012110212200} is an apocalyptic number.

101012110212200 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 101012110212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129080456583750).

101012110212200 is an abundant number, since it is smaller than the sum of its proper divisors (157148802955300).

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

101012110212200 is a wasteful number, since it uses less digits than its factorization.

101012110212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267396 (or 267376 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101012110212200 its reverse (2212011210101), we get a palindrome (103224121422301).

The spelling of 101012110212200 in words is "one hundred one trillion, twelve billion, one hundred ten million, two hundred twelve thousand, two hundred".