10220112101082 has 128 divisors (see below), whose sum is σ = 23242043784960. Its totient is φ = 2973689671680.

The previous prime is 10220112101077. The next prime is 10220112101083. The reversal of 10220112101082 is 28010121102201.

It is not an unprimeable number, because it can be changed into a prime (10220112101083) 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, 68380258 + ... + 68529554.

It is an arithmetic number, because the mean of its divisors is an integer number (181578467070).

Almost surely, 2^{10220112101082} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220112101082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621021892480).

10220112101082 is an abundant number, since it is smaller than the sum of its proper divisors (13021931683878).

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

10220112101082 is a wasteful number, since it uses less digits than its factorization.

10220112101082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149968.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 10220112101082 its reverse (28010121102201), we get a palindrome (38230233203283).

The spelling of 10220112101082 in words is "ten trillion, two hundred twenty billion, one hundred twelve million, one hundred one thousand, eighty-two".