1002101002110 has 320 divisors, whose sum is σ = 2927229072768. Its totient is φ = 244520902656.

The previous prime is 1002101002033. The next prime is 1002101002121. The reversal of 1002101002110 is 112001012001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002101002092 and 1002101002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 645267094 + ... + 645268646.

Almost surely, 2^{1002101002110} is an apocalyptic number.

1002101002110 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 1002101002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463614536384).

1002101002110 is an abundant number, since it is smaller than the sum of its proper divisors (1925128070658).

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

1002101002110 is a wasteful number, since it uses less digits than its factorization.

1002101002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002101002110 its reverse (112001012001), we get a palindrome (1114102014111).

The spelling of 1002101002110 in words is "one trillion, two billion, one hundred one million, two thousand, one hundred ten".