101102120210 has 64 divisors (see below), whose sum is σ = 225690119424. Its totient is φ = 31752864000.

The previous prime is 101102120201. The next prime is 101102120213. The reversal of 101102120210 is 12021201101.

It is a junction number, because it is equal to n+sod(n) for n = 101102120191 and 101102120200.

It is not an unprimeable number, because it can be changed into a prime (101102120213) 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 31 ways as a sum of consecutive naturals, for example, 304841 + ... + 543260.

It is an arithmetic number, because the mean of its divisors is an integer number (3526408116).

Almost surely, 2^101102120210 is an apocalyptic number.

101102120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102120210 is an abundant number, since it is smaller than the sum of its proper divisors (124587999214).

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

101102120210 is a wasteful number, since it uses less digits than its factorization.

101102120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848259.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101102120210 its reverse (12021201101), we get a palindrome (113123321311).

The spelling of 101102120210 in words is "one hundred one billion, one hundred two million, one hundred twenty thousand, two hundred ten".