100211220210020 has 96 divisors (see below), whose sum is σ = 211942651673088. Its totient is φ = 39800259620352.

The previous prime is 100211220209977. The next prime is 100211220210047. The reversal of 100211220210020 is 20012022112001.

It is a super-3 number, since 3×100211220210020³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 100211220209977 and 100211220210004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1652611142 + ... + 1652671778.

It is an arithmetic number, because the mean of its divisors is an integer number (2207735954928).

Almost surely, 2^{100211220210020} is an apocalyptic number.

100211220210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211220210020 is an abundant number, since it is smaller than the sum of its proper divisors (111731431463068).

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

100211220210020 is a wasteful number, since it uses less digits than its factorization.

100211220210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61989 (or 61987 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100211220210020 its reverse (20012022112001), we get a palindrome (120223242322021).

The spelling of 100211220210020 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty million, two hundred ten thousand, twenty".