101322000 has 240 divisors, whose sum is σ = 381985968. Its totient is φ = 24883200.

The previous prime is 101321959. The next prime is 101322019. The reversal of 101322000 is 223101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 73822464 + 27499536 = 8592^2 + 5244^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×101322000² = 20532295368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 233784 + ... + 234216.

Almost surely, 2^101322000 is an apocalyptic number.

101322000 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 101322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190992984).

101322000 is an abundant number, since it is smaller than the sum of its proper divisors (280663968).

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

101322000 is a wasteful number, since it uses less digits than its factorization.

101322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101322000 is about 10065.8829717020. The cubic root of 101322000 is about 466.1953290937.

Adding to 101322000 its reverse (223101), we get a palindrome (101545101).

The spelling of 101322000 in words is "one hundred one million, three hundred twenty-two thousand".