101221000000 has 98 divisors (see below), whose sum is σ = 251074794014. Its totient is φ = 40488000000.

The previous prime is 101220999983. The next prime is 101221000009. The reversal of 101221000000 is 122101.

It can be written as a sum of positive squares in 7 ways, for example, as 88580045376 + 12640954624 = 297624^2 + 112432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 949390 + ... + 1050610.

Almost surely, 2^101221000000 is an apocalyptic number.

101221000000 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 101221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125537397007).

101221000000 is an abundant number, since it is smaller than the sum of its proper divisors (149853794014).

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

101221000000 is an frugal number, since it uses more digits than its factorization.

101221000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101263 (or 101228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101221000000 its reverse (122101), we get a palindrome (101221122101).

The spelling of 101221000000 in words is "one hundred one billion, two hundred twenty-one million", and thus it is an aban number.