100101211111020 has 384 divisors, whose sum is σ = 332930845900800. Its totient is φ = 21987342720000.

The previous prime is 100101211110913. The next prime is 100101211111079. The reversal of 100101211111020 is 20111112101001.

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 = 100101211110987 and 100101211111005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4497100651 + ... + 4497122909.

It is an arithmetic number, because the mean of its divisors is an integer number (867007411200).

Almost surely, 2^{100101211111020} is an apocalyptic number.

100101211111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101211111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166465422950400).

100101211111020 is an abundant number, since it is smaller than the sum of its proper divisors (232829634789780).

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

100101211111020 is a wasteful number, since it uses less digits than its factorization.

100101211111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24029 (or 24027 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100101211111020 its reverse (20111112101001), we get a palindrome (120212323212021).

The spelling of 100101211111020 in words is "one hundred trillion, one hundred one billion, two hundred eleven million, one hundred eleven thousand, twenty".