1010102220100 has 72 divisors (see below), whose sum is σ = 2213975796480. Its totient is φ = 399984238080.

The previous prime is 1010102220091. The next prime is 1010102220103. The reversal of 1010102220100 is 10222010101.

1010102220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1010102220103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9427429 + ... + 9533971.

It is an arithmetic number, because the mean of its divisors is an integer number (30749663840).

Almost surely, 2^{1010102220100} is an apocalyptic number.

1010102220100 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 1010102220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106987898240).

1010102220100 is an abundant number, since it is smaller than the sum of its proper divisors (1203873576380).

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

1010102220100 is a wasteful number, since it uses less digits than its factorization.

1010102220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107509 (or 107502 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010102220100 its reverse (10222010101), we get a palindrome (1020324230201).

The spelling of 1010102220100 in words is "one trillion, ten billion, one hundred two million, two hundred twenty thousand, one hundred".