1001012202102 has 128 divisors (see below), whose sum is σ = 2223939691008. Its totient is φ = 297851904000.

The previous prime is 1001012202101. The next prime is 1001012202103. The reversal of 1001012202102 is 2012022101001.

It is an interprime number because it is at equal distance from previous prime (1001012202101) and next prime (1001012202103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001012202101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 822523798 + ... + 822525014.

It is an arithmetic number, because the mean of its divisors is an integer number (17374528836).

Almost surely, 2^{1001012202102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001012202102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111969845504).

1001012202102 is an abundant number, since it is smaller than the sum of its proper divisors (1222927488906).

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

1001012202102 is a wasteful number, since it uses less digits than its factorization.

1001012202102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254.

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

Adding to 1001012202102 its reverse (2012022101001), we get a palindrome (3013034303103).

The spelling of 1001012202102 in words is "one trillion, one billion, twelve million, two hundred two thousand, one hundred two".