10202120002110 has 128 divisors (see below), whose sum is σ = 25236743616000. Its totient is φ = 2637582773760.

The previous prime is 10202120002103. The next prime is 10202120002121. The reversal of 10202120002110 is 1120002120201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 771186976 + ... + 771200204.

It is an arithmetic number, because the mean of its divisors is an integer number (197162059500).

Almost surely, 2^{10202120002110} is an apocalyptic number.

10202120002110 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 10202120002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12618371808000).

10202120002110 is an abundant number, since it is smaller than the sum of its proper divisors (15034623613890).

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

10202120002110 is a wasteful number, since it uses less digits than its factorization.

10202120002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15706.

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

Adding to 10202120002110 its reverse (1120002120201), we get a palindrome (11322122122311).

The spelling of 10202120002110 in words is "ten trillion, two hundred two billion, one hundred twenty million, two thousand, one hundred ten".