101201000 has 64 divisors (see below), whose sum is σ = 250782480. Its totient is φ = 38092800.

The previous prime is 101200993. The next prime is 101201003. The reversal of 101201000 is 102101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37636 + 101163364 = 194^2 + 10058^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101201003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14024 + ... + 19976.

Almost surely, 2^101201000 is an apocalyptic number.

101201000 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 101201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125391240).

101201000 is an abundant number, since it is smaller than the sum of its proper divisors (149581480).

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

101201000 is a wasteful number, since it uses less digits than its factorization.

101201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5991 (or 5977 counting only the distinct ones).

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

The square root of 101201000 is about 10059.8707745179. The cubic root of 101201000 is about 466.0096764064.

Adding to 101201000 its reverse (102101), we get a palindrome (101303101).

The spelling of 101201000 in words is "one hundred one million, two hundred one thousand".