10200001120110 has 96 divisors (see below), whose sum is σ = 27706034603520. Its totient is φ = 2598637973184.

The previous prime is 10200001120073. The next prime is 10200001120121. The reversal of 10200001120110 is 1102110000201.

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 = 10200001120092 and 10200001120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1199824 + ... + 4673283.

It is an arithmetic number, because the mean of its divisors is an integer number (288604527120).

Almost surely, 2^{10200001120110} is an apocalyptic number.

10200001120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200001120110 is an abundant number, since it is smaller than the sum of its proper divisors (17506033483410).

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

10200001120110 is a wasteful number, since it uses less digits than its factorization.

10200001120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873982 (or 5873979 counting only the distinct ones).

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

Adding to 10200001120110 its reverse (1102110000201), we get a palindrome (11302111120311).

The spelling of 10200001120110 in words is "ten trillion, two hundred billion, one million, one hundred twenty thousand, one hundred ten".