1001121210102 has 128 divisors (see below), whose sum is σ = 2251115919360. Its totient is φ = 294689041920.

The previous prime is 1001121210079. The next prime is 1001121210107. The reversal of 1001121210102 is 2010121211001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001121210107) 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, 224313523 + ... + 224317985.

It is an arithmetic number, because the mean of its divisors is an integer number (17586843120).

Almost surely, 2^{1001121210102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001121210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125557959680).

1001121210102 is an abundant number, since it is smaller than the sum of its proper divisors (1249994709258).

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

1001121210102 is a wasteful number, since it uses less digits than its factorization.

1001121210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001121210102 its reverse (2010121211001), we get a palindrome (3011242421103).

The spelling of 1001121210102 in words is "one trillion, one billion, one hundred twenty-one million, two hundred ten thousand, one hundred two".