101111100210 has 24 divisors (see below), whose sum is σ = 262888860780. Its totient is φ = 26962960032.

The previous prime is 101111100191. The next prime is 101111100217. The reversal of 101111100210 is 12001111101.

101111100210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 84051866889 + 17059233321 = 289917^2 + 130611^2 .

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 = 101111100192 and 101111100201.

It is not an unprimeable number, because it can be changed into a prime (101111100217) 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 11 ways as a sum of consecutive naturals, for example, 561728245 + ... + 561728424.

Almost surely, 2^101111100210 is an apocalyptic number.

101111100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111100210 is an abundant number, since it is smaller than the sum of its proper divisors (161777760570).

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

101111100210 is a wasteful number, since it uses less digits than its factorization.

101111100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123456682 (or 1123456679 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101111100210 its reverse (12001111101), we get a palindrome (113112211311).

It can be divided in two parts, 101111100 and 210, that added together give a triangular number (101111310 = T₁₄₂₂₀).

The spelling of 101111100210 in words is "one hundred one billion, one hundred eleven million, one hundred thousand, two hundred ten".