101002023000 has 96 divisors (see below), whose sum is σ = 341386868160. Its totient is φ = 26933870400.

The previous prime is 101002022899. The next prime is 101002023047. The reversal of 101002023000 is 320200101.

It is a happy number.

It is a super-3 number, since 3×101002023000³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5602224 + ... + 5620223.

It is an arithmetic number, because the mean of its divisors is an integer number (3556113210).

Almost surely, 2^101002023000 is an apocalyptic number.

101002023000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002023000 is an abundant number, since it is smaller than the sum of its proper divisors (240384845160).

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

101002023000 is a wasteful number, since it uses less digits than its factorization.

101002023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222474 (or 11222457 counting only the distinct ones).

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

Adding to 101002023000 its reverse (320200101), we get a palindrome (101322223101).

The spelling of 101002023000 in words is "one hundred one billion, two million, twenty-three thousand".