100020200111020 has 192 divisors, whose sum is σ = 245268298598400. Its totient is φ = 33555120445440.

The previous prime is 100020200111011. The next prime is 100020200111023. The reversal of 100020200111020 is 20111002020001.

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 = 100020200110988 and 100020200111006.

It is not an unprimeable number, because it can be changed into a prime (100020200111023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3433683816 + ... + 3433712944.

It is an arithmetic number, because the mean of its divisors is an integer number (1277439055200).

Almost surely, 2^{100020200111020} is an apocalyptic number.

100020200111020 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 100020200111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122634149299200).

100020200111020 is an abundant number, since it is smaller than the sum of its proper divisors (145248098487380).

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

100020200111020 is a wasteful number, since it uses less digits than its factorization.

100020200111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32048 (or 32046 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100020200111020 its reverse (20111002020001), we get a palindrome (120131202131021).

The spelling of 100020200111020 in words is "one hundred trillion, twenty billion, two hundred million, one hundred eleven thousand, twenty".