100211120101020 has 96 divisors (see below), whose sum is σ = 287131978425600. Its totient is φ = 26100094970880.

The previous prime is 100211120101013. The next prime is 100211120101091. The reversal of 100211120101020 is 20101021112001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100211120100987 and 100211120101005.

It is a congruent number.

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, 47289156 + ... + 49362804.

It is an arithmetic number, because the mean of its divisors is an integer number (2990958108600).

Almost surely, 2^{100211120101020} is an apocalyptic number.

100211120101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211120101020 is an abundant number, since it is smaller than the sum of its proper divisors (186920858324580).

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

100211120101020 is a wasteful number, since it uses less digits than its factorization.

100211120101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092435 (or 2092433 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100211120101020 its reverse (20101021112001), we get a palindrome (120312141213021).

The spelling of 100211120101020 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty million, one hundred one thousand, twenty".