1001102022102 has 128 divisors (see below), whose sum is σ = 2576645406720. Its totient is φ = 252031570560.

The previous prime is 1001102022101. The next prime is 1001102022229. The reversal of 1001102022102 is 2012202011001.

1001102022102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001102022101) 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, 6084799 + ... + 6247157.

It is an arithmetic number, because the mean of its divisors is an integer number (20130042240).

Almost surely, 2^{1001102022102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001102022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288322703360).

1001102022102 is an abundant number, since it is smaller than the sum of its proper divisors (1575543384618).

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

1001102022102 is a wasteful number, since it uses less digits than its factorization.

1001102022102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162898.

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

Adding to 1001102022102 its reverse (2012202011001), we get a palindrome (3013304033103).

It can be divided in two parts, 100110 and 2022102, that added together give a palindrome (2122212).

The spelling of 1001102022102 in words is "one trillion, one billion, one hundred two million, twenty-two thousand, one hundred two".