101211110000 has 400 divisors, whose sum is σ = 329040273408. Its totient is φ = 29116800000.

The previous prime is 101211109969. The next prime is 101211110003. The reversal of 101211110000 is 11112101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101211110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10004945 + ... + 10015055.

Almost surely, 2^101211110000 is an apocalyptic number.

101211110000 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 101211110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520136704).

101211110000 is an abundant number, since it is smaller than the sum of its proper divisors (227829163408).

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

101211110000 is a wasteful number, since it uses less digits than its factorization.

101211110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101211110000 its reverse (11112101), we get a palindrome (101222222101).

The spelling of 101211110000 in words is "one hundred one billion, two hundred eleven million, one hundred ten thousand".