101212302000 has 160 divisors (see below), whose sum is σ = 329541211584. Its totient is φ = 26722560000.

The previous prime is 101212301963. The next prime is 101212302001. The reversal of 101212302000 is 203212101.

It is a super-2 number, since 2×101212302000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101212302001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522492 + ... + 689508.

Almost surely, 2^101212302000 is an apocalyptic number.

101212302000 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 101212302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164770605792).

101212302000 is an abundant number, since it is smaller than the sum of its proper divisors (228328909584).

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

101212302000 is a wasteful number, since it uses less digits than its factorization.

101212302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167144 (or 167128 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101212302000 its reverse (203212101), we get a palindrome (101415514101).

The spelling of 101212302000 in words is "one hundred one billion, two hundred twelve million, three hundred two thousand".