10102211012220 has 96 divisors (see below), whose sum is σ = 29052332097600. Its totient is φ = 2620965371904.

The previous prime is 10102211012219. The next prime is 10102211012221. The reversal of 10102211012220 is 2221011220101.

It is an interprime number because it is at equal distance from previous prime (10102211012219) and next prime (10102211012221).

It is a super-3 number, since 3×10102211012220³ (a number of 40 digits) contains 333 as substring.

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 10102211012220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102211012221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42080286 + ... + 42319674.

It is an arithmetic number, because the mean of its divisors is an integer number (302628459350).

Almost surely, 2^{10102211012220} is an apocalyptic number.

10102211012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102211012220 is an abundant number, since it is smaller than the sum of its proper divisors (18950121085380).

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

10102211012220 is a wasteful number, since it uses less digits than its factorization.

10102211012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258447 (or 258445 counting only the distinct ones).

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

Adding to 10102211012220 its reverse (2221011220101), we get a palindrome (12323222232321).

The spelling of 10102211012220 in words is "ten trillion, one hundred two billion, two hundred eleven million, twelve thousand, two hundred twenty".