101101200210 has 96 divisors (see below), whose sum is σ = 265644505152. Its totient is φ = 26675671680.

The previous prime is 101101200169. The next prime is 101101200251. The reversal of 101101200210 is 12002101101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101101200169) and next prime (101101200251).

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 = 101101200192 and 101101200201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8439525 + ... + 8451495.

It is an arithmetic number, because the mean of its divisors is an integer number (2767130262).

Almost surely, 2^101101200210 is an apocalyptic number.

101101200210 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 101101200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132822252576).

101101200210 is an abundant number, since it is smaller than the sum of its proper divisors (164543304942).

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

101101200210 is a wasteful number, since it uses less digits than its factorization.

101101200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12968 (or 12965 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101101200210 its reverse (12002101101), we get a palindrome (113103301311).

The spelling of 101101200210 in words is "one hundred one billion, one hundred one million, two hundred thousand, two hundred ten".