101112122201000 has 32 divisors (see below), whose sum is σ = 236602365952680. Its totient is φ = 40444848880000.

The previous prime is 101112122200963. The next prime is 101112122201011. The reversal of 101112122201000 is 102221211101.

101112122201000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28627229595364 + 72484892605636 = 5350442^2 + 8513806^2 .

It is a super-2 number, since 2×101112122201000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50556060101 + ... + 50556062100.

Almost surely, 2^{101112122201000} is an apocalyptic number.

101112122201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112122201000 is an abundant number, since it is smaller than the sum of its proper divisors (135490243751680).

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

101112122201000 is a wasteful number, since it uses less digits than its factorization.

101112122201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101112122222 (or 101112122208 counting only the distinct ones).

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

Adding to 101112122201000 its reverse (102221211101), we get a palindrome (101214343412101).

The spelling of 101112122201000 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-two million, two hundred one thousand".