100012011101020 has 96 divisors (see below), whose sum is σ = 220853328385536. Its totient is φ = 37969300512000.

The previous prime is 100012011101003. The next prime is 100012011101029. The reversal of 100012011101020 is 20101110210001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100012011100988 and 100012011101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012011101029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596550447 + ... + 596718073.

It is an arithmetic number, because the mean of its divisors is an integer number (2300555504016).

Almost surely, 2^{100012011101020} is an apocalyptic number.

100012011101020 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 100012011101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110426664192768).

100012011101020 is an abundant number, since it is smaller than the sum of its proper divisors (120841317284516).

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

100012011101020 is a wasteful number, since it uses less digits than its factorization.

100012011101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177691 (or 177689 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100012011101020 its reverse (20101110210001), we get a palindrome (120113121311021).

The spelling of 100012011101020 in words is "one hundred trillion, twelve billion, eleven million, one hundred one thousand, twenty".