101221012000 has 96 divisors (see below), whose sum is σ = 249111770544. Its totient is φ = 40421376000.

The previous prime is 101221011883. The next prime is 101221012001. The reversal of 101221012000 is 210122101.

It can be written as a sum of positive squares in 8 ways, for example, as 4726287504 + 96494724496 = 68748^2 + 310636^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101221012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431360 + ... + 2472640.

Almost surely, 2^101221012000 is an apocalyptic number.

101221012000 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 101221012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124555885272).

101221012000 is an abundant number, since it is smaller than the sum of its proper divisors (147890758544).

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

101221012000 is an equidigital number, since it uses as much as digits as its factorization.

101221012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41919 (or 41901 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101221012000 its reverse (210122101), we get a palindrome (101431134101).

The spelling of 101221012000 in words is "one hundred one billion, two hundred twenty-one million, twelve thousand".