20102210001000 has 192 divisors, whose sum is σ = 69781835008080. Its totient is φ = 5215708454400.

The previous prime is 20102210000981. The next prime is 20102210001019. The reversal of 20102210001000 is 10001220102.

It is an interprime number because it is at equal distance from previous prime (20102210000981) and next prime (20102210001019).

It can be written as a sum of positive squares in 8 ways, for example, as 7180931435076 + 12921278565924 = 2679726^2 + 3594618^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29850499 + ... + 30516498.

Almost surely, 2^{20102210001000} is an apocalyptic number.

20102210001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102210001000 is an abundant number, since it is smaller than the sum of its proper divisors (49679625007080).

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

20102210001000 is a wasteful number, since it uses less digits than its factorization.

20102210001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60367061 (or 60367044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20102210001000 its reverse (10001220102), we get a palindrome (20112211221102).

The spelling of 20102210001000 in words is "twenty trillion, one hundred two billion, two hundred ten million, one thousand".