101023000 has 128 divisors (see below), whose sum is σ = 268632000. Its totient is φ = 35251200.

The previous prime is 101022991. The next prime is 101023007. The reversal of 101023000 is 320101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246796 + ... + 247204.

Almost surely, 2^101023000 is an apocalyptic number.

101023000 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 101023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134316000).

101023000 is an abundant number, since it is smaller than the sum of its proper divisors (167609000).

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

101023000 is a wasteful number, since it uses less digits than its factorization.

101023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 101023000 is about 10051.0198487517. The cubic root of 101023000 is about 465.7362983346.

Adding to 101023000 its reverse (320101), we get a palindrome (101343101).

The spelling of 101023000 in words is "one hundred one million, twenty-three thousand".