101220012221000 has 128 divisors (see below), whose sum is σ = 245089861192800. Its totient is φ = 39081077683200.

The previous prime is 101220012220969. The next prime is 101220012221023. The reversal of 101220012221000 is 122210022101.

It can be written as a sum of positive squares in 16 ways, for example, as 49046463009124 + 52173549211876 = 7003318^2 + 7223126^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104993162 + ... + 105952838.

Almost surely, 2^{101220012221000} is an apocalyptic number.

101220012221000 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 101220012221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122544930596400).

101220012221000 is an abundant number, since it is smaller than the sum of its proper divisors (143869848971800).

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

101220012221000 is a wasteful number, since it uses less digits than its factorization.

101220012221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963364 (or 963350 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101220012221000 its reverse (122210022101), we get a palindrome (101342222243101).

The spelling of 101220012221000 in words is "one hundred one trillion, two hundred twenty billion, twelve million, two hundred twenty-one thousand".