100211011020 has 36 divisors (see below), whose sum is σ = 303973400640. Its totient is φ = 26722936224.

The previous prime is 100211010983. The next prime is 100211011081. The reversal of 100211011020 is 20110112001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100211011020² (a number of 23 digits) contains 22 as substring.

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 = 100211010993 and 100211011011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278363740 + ... + 278364099.

Almost surely, 2^100211011020 is an apocalyptic number.

100211011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211011020 is an abundant number, since it is smaller than the sum of its proper divisors (203762389620).

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

100211011020 is a wasteful number, since it uses less digits than its factorization.

100211011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556727854 (or 556727849 counting only the distinct ones).

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

Adding to 100211011020 its reverse (20110112001), we get a palindrome (120321123021).

The spelling of 100211011020 in words is "one hundred billion, two hundred eleven million, eleven thousand, twenty".