100111021020 has 144 divisors (see below), whose sum is σ = 311296763232. Its totient is φ = 26026721280.

The previous prime is 100111020967. The next prime is 100111021057. The reversal of 100111021020 is 20120111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100111020993 and 100111021011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12711804 + ... + 12719676.

It is an arithmetic number, because the mean of its divisors is an integer number (2161783078).

Almost surely, 2^100111021020 is an apocalyptic number.

100111021020 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 100111021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155648381616).

100111021020 is an abundant number, since it is smaller than the sum of its proper divisors (211185742212).

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

100111021020 is a wasteful number, since it uses less digits than its factorization.

100111021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9652 (or 9647 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100111021020 its reverse (20120111001), we get a palindrome (120231132021).

The spelling of 100111021020 in words is "one hundred billion, one hundred eleven million, twenty-one thousand, twenty".