2000022210100 has 72 divisors (see below), whose sum is σ = 4640844013848. Its totient is φ = 745494528000.

The previous prime is 2000022210091. The next prime is 2000022210107. The reversal of 2000022210100 is 10122200002.

It can be written as a sum of positive squares in 12 ways, for example, as 45825108624 + 1954197101476 = 214068^2 + 1397926^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000022210107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5652477 + ... + 5995876.

It is an arithmetic number, because the mean of its divisors is an integer number (64456166859).

Almost surely, 2^{2000022210100} is an apocalyptic number.

2000022210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000022210100 is an abundant number, since it is smaller than the sum of its proper divisors (2640821803748).

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

2000022210100 is a wasteful number, since it uses less digits than its factorization.

2000022210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11648485 (or 11648478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2000022210100 its reverse (10122200002), we get a palindrome (2010144410102).

It can be divided in two parts, 2000022 and 210100, that added together give a palindrome (2210122).

The spelling of 2000022210100 in words is "two trillion, twenty-two million, two hundred ten thousand, one hundred".