10100201001220 has 192 divisors, whose sum is σ = 25797817785600. Its totient is φ = 3273724477440.

The previous prime is 10100201001217. The next prime is 10100201001227. The reversal of 10100201001220 is 2210010200101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10100201001197 and 10100201001206.

It is not an unprimeable number, because it can be changed into a prime (10100201001227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228009394 + ... + 228053686.

It is an arithmetic number, because the mean of its divisors is an integer number (134363634300).

Almost surely, 2^{10100201001220} is an apocalyptic number.

10100201001220 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 10100201001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12898908892800).

10100201001220 is an abundant number, since it is smaller than the sum of its proper divisors (15697616784380).

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

10100201001220 is a wasteful number, since it uses less digits than its factorization.

10100201001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47558 (or 47556 counting only the distinct ones).

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

Adding to 10100201001220 its reverse (2210010200101), we get a palindrome (12310211201321).

The spelling of 10100201001220 in words is "ten trillion, one hundred billion, two hundred one million, one thousand, two hundred twenty".