100211101000 has 32 divisors (see below), whose sum is σ = 234493978680. Its totient is φ = 40084440000.

The previous prime is 100211100989. The next prime is 100211101037. The reversal of 100211101000 is 101112001.

It can be written as a sum of positive squares in 4 ways, for example, as 6649750116 + 93561350884 = 81546^2 + 305878^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50104551 + ... + 50106550.

Almost surely, 2^100211101000 is an apocalyptic number.

100211101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211101000 is an abundant number, since it is smaller than the sum of its proper divisors (134282877680).

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

100211101000 is a wasteful number, since it uses less digits than its factorization.

100211101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100211122 (or 100211108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100211101000 its reverse (101112001), we get a palindrome (100312213001).

The spelling of 100211101000 in words is "one hundred billion, two hundred eleven million, one hundred one thousand".