10100201012220 has 192 divisors, whose sum is σ = 31187769500160. Its totient is φ = 2421895296000.

The previous prime is 10100201012179. The next prime is 10100201012227. The reversal of 10100201012220 is 2221010200101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10100201012196 and 10100201012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100201012227) 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, 67852194 + ... + 68000886.

It is an arithmetic number, because the mean of its divisors is an integer number (162436299480).

Almost surely, 2^{10100201012220} is an apocalyptic number.

10100201012220 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 10100201012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593884750080).

10100201012220 is an abundant number, since it is smaller than the sum of its proper divisors (21087568487940).

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

10100201012220 is a wasteful number, since it uses less digits than its factorization.

10100201012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149836 (or 149834 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100201012220 its reverse (2221010200101), we get a palindrome (12321211212321).

The spelling of 10100201012220 in words is "ten trillion, one hundred billion, two hundred one million, twelve thousand, two hundred twenty".