100211000220020 has 48 divisors (see below), whose sum is σ = 210828040980480. Its totient is φ = 40011091421184.

The previous prime is 100211000220011. The next prime is 100211000220029. The reversal of 100211000220020 is 20022000112001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100211000220011) and next prime (100211000220029).

It is a junction number, because it is equal to n+sod(n) for n = 100211000219983 and 100211000220010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211000220029) 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 15 ways as a sum of consecutive naturals, for example, 121439657 + ... + 122262063.

It is an arithmetic number, because the mean of its divisors is an integer number (4392250853760).

Almost surely, 2^{100211000220020} is an apocalyptic number.

100211000220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211000220020 is an abundant number, since it is smaller than the sum of its proper divisors (110617040760460).

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

100211000220020 is a wasteful number, since it uses less digits than its factorization.

100211000220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833552 (or 833550 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100211000220020 its reverse (20022000112001), we get a palindrome (120233000332021).

The spelling of 100211000220020 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty thousand, twenty".