10011121202220 has 384 divisors, whose sum is σ = 29746624094208. Its totient is φ = 2512174694400.

The previous prime is 10011121202191. The next prime is 10011121202263. The reversal of 10011121202220 is 2220212111001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10011121202220.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6705371794 + ... + 6705373286.

It is an arithmetic number, because the mean of its divisors is an integer number (77465166912).

Almost surely, 2^{10011121202220} is an apocalyptic number.

10011121202220 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 10011121202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873312047104).

10011121202220 is an abundant number, since it is smaller than the sum of its proper divisors (19735502891988).

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

10011121202220 is a wasteful number, since it uses less digits than its factorization.

10011121202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10011121202220 its reverse (2220212111001), we get a palindrome (12231333313221).

The spelling of 10011121202220 in words is "ten trillion, eleven billion, one hundred twenty-one million, two hundred two thousand, two hundred twenty".