100201011011020 has 48 divisors (see below), whose sum is σ = 211547430597888. Its totient is φ = 39866170131200.

The previous prime is 100201011011011. The next prime is 100201011011107. The reversal of 100201011011020 is 20110110102001.

100201011011020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100201011011020² (a number of 29 digits) contains 22 as substring.

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 = 100201011010988 and 100201011011006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11146149 + ... + 18017731.

It is an arithmetic number, because the mean of its divisors is an integer number (4407238137456).

Almost surely, 2^{100201011011020} is an apocalyptic number.

100201011011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201011011020 is an abundant number, since it is smaller than the sum of its proper divisors (111346419586868).

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

100201011011020 is a wasteful number, since it uses less digits than its factorization.

100201011011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875490 (or 6875488 counting only the distinct ones).

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

Adding to 100201011011020 its reverse (20110110102001), we get a palindrome (120311121113021).

The spelling of 100201011011020 in words is "one hundred trillion, two hundred one billion, eleven million, eleven thousand, twenty".