101023220000 has 120 divisors (see below), whose sum is σ = 250123056876. Its totient is φ = 40150656000.

The previous prime is 101023219991. The next prime is 101023220009. The reversal of 101023220000 is 22320101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101023219991) and next prime (101023220009).

It can be written as a sum of positive squares in 10 ways, for example, as 18440553616 + 82582666384 = 135796^2 + 287372^2 .

It is not an unprimeable number, because it can be changed into a prime (101023220009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3123914 + ... + 3156086.

Almost surely, 2^101023220000 is an apocalyptic number.

101023220000 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 101023220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125061528438).

101023220000 is an abundant number, since it is smaller than the sum of its proper divisors (149099836876).

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

101023220000 is an equidigital number, since it uses as much as digits as its factorization.

101023220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32360 (or 32337 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 101023220000 its reverse (22320101), we get a palindrome (101045540101).

The spelling of 101023220000 in words is "one hundred one billion, twenty-three million, two hundred twenty thousand".