101123302000 has 320 divisors, whose sum is σ = 295549083648. Its totient is φ = 32728320000.

The previous prime is 101123301991. The next prime is 101123302009. The reversal of 101123302000 is 203321101.

It is an interprime number because it is at equal distance from previous prime (101123301991) and next prime (101123302009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123302009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17791159 + ... + 17796841.

Almost surely, 2^101123302000 is an apocalyptic number.

101123302000 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 101123302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147774541824).

101123302000 is an abundant number, since it is smaller than the sum of its proper divisors (194425781648).

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

101123302000 is a wasteful number, since it uses less digits than its factorization.

101123302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 101123302000 its reverse (203321101), we get a palindrome (101326623101).

The spelling of 101123302000 in words is "one hundred one billion, one hundred twenty-three million, three hundred two thousand".