101211230000 has 100 divisors (see below), whose sum is σ = 246690721200. Its totient is φ = 40212192000.

The previous prime is 101211229993. The next prime is 101211230023. The reversal of 101211230000 is 32112101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×101211230000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1456037 + ... + 1523963.

It is an arithmetic number, because the mean of its divisors is an integer number (2466907212).

Almost surely, 2^101211230000 is an apocalyptic number.

101211230000 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 101211230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123345360600).

101211230000 is an abundant number, since it is smaller than the sum of its proper divisors (145479491200).

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

101211230000 is an equidigital number, since it uses as much as digits as its factorization.

101211230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68104 (or 68083 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101211230000 its reverse (32112101), we get a palindrome (101243342101).

The spelling of 101211230000 in words is "one hundred one billion, two hundred eleven million, two hundred thirty thousand".