100211010010 has 32 divisors (see below), whose sum is σ = 181347610752. Its totient is φ = 39869457600.

The previous prime is 100211009971. The next prime is 100211010019. The reversal of 100211010010 is 10010112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211009975 and 100211010002.

It is not an unprimeable number, because it can be changed into a prime (100211010019) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11191035 + ... + 11199985.

It is an arithmetic number, because the mean of its divisors is an integer number (5667112836).

Almost surely, 2^100211010010 is an apocalyptic number.

100211010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100211010010 is a deficient number, since it is larger than the sum of its proper divisors (81136600742).

100211010010 is a wasteful number, since it uses less digits than its factorization.

100211010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14838.

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

Adding to 100211010010 its reverse (10010112001), we get a palindrome (110221122011).

The spelling of 100211010010 in words is "one hundred billion, two hundred eleven million, ten thousand, ten".