101002000 has 80 divisors (see below), whose sum is σ = 266482944. Its totient is φ = 36720000.

The previous prime is 101001991. The next prime is 101002009. The reversal of 101002000 is 200101.

It is an interprime number because it is at equal distance from previous prime (101001991) and next prime (101002009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (101002009) 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, 19705 + ... + 24295.

Almost surely, 2^101002000 is an apocalyptic number.

101002000 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 101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133241472).

101002000 is an abundant number, since it is smaller than the sum of its proper divisors (165480944).

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

101002000 is a wasteful number, since it uses less digits than its factorization.

101002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 101002000 is about 10049.9751243473. The cubic root of 101002000 is about 465.7040246938.

Adding to 101002000 its reverse (200101), we get a palindrome (101202101).

It can be divided in two parts, 10100 and 2000, that added together give a square (12100 = 110²).

The spelling of 101002000 in words is "one hundred one million, two thousand".