101002200122010 has 512 divisors, whose sum is σ = 283483250454528. Its totient is φ = 22760588165120.

The previous prime is 101002200121957. The next prime is 101002200122011. The reversal of 101002200122010 is 10221002200101.

It is not an unprimeable number, because it can be changed into a prime (101002200122011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 149190841792 + ... + 149190842468.

It is an arithmetic number, because the mean of its divisors is an integer number (553678223544).

Almost surely, 2^{101002200122010} is an apocalyptic number.

101002200122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002200122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141741625227264).

101002200122010 is an abundant number, since it is smaller than the sum of its proper divisors (182481050332518).

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

101002200122010 is a wasteful number, since it uses less digits than its factorization.

101002200122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678.

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

Adding to 101002200122010 its reverse (10221002200101), we get a palindrome (111223202322111).

The spelling of 101002200122010 in words is "one hundred one trillion, two billion, two hundred million, one hundred twenty-two thousand, ten".