101210000 has 100 divisors (see below), whose sum is σ = 254215500. Its totient is φ = 38976000.

The previous prime is 101209991. The next prime is 101210077. The reversal of 101210000 is 12101.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 65545216 + 35664784 = 8096^2 + 5972^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289826 + ... + 290174.

It is an arithmetic number, because the mean of its divisors is an integer number (2542155).

Almost surely, 2^101210000 is an apocalyptic number.

101210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127107750).

101210000 is an abundant number, since it is smaller than the sum of its proper divisors (153005500).

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

101210000 is an equidigital number, since it uses as much as digits as its factorization.

101210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 101210000 is about 10060.3180864225. The cubic root of 101210000 is about 466.0234903765.

Adding to 101210000 its reverse (12101), we get a palindrome (101222101).

The spelling of 101210000 in words is "one hundred one million, two hundred ten thousand".