101102220210 has 128 divisors (see below), whose sum is σ = 252299867904. Its totient is φ = 25910231040.

The previous prime is 101102220209. The next prime is 101102220211. The reversal of 101102220210 is 12022201101.

It is an interprime number because it is at equal distance from previous prime (101102220209) and next prime (101102220211).

It is not an unprimeable number, because it can be changed into a prime (101102220211) 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 63 ways as a sum of consecutive naturals, for example, 27081504 + ... + 27085236.

It is an arithmetic number, because the mean of its divisors is an integer number (1971092718).

Almost surely, 2^101102220210 is an apocalyptic number.

101102220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126149933952).

101102220210 is an abundant number, since it is smaller than the sum of its proper divisors (151197647694).

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

101102220210 is a wasteful number, since it uses less digits than its factorization.

101102220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101102220210 its reverse (12022201101), we get a palindrome (113124421311).

The spelling of 101102220210 in words is "one hundred one billion, one hundred two million, two hundred twenty thousand, two hundred ten".