10200001102110 has 96 divisors (see below), whose sum is σ = 28080777085920. Its totient is φ = 2559929708544.

The previous prime is 10200001102103. The next prime is 10200001102129. The reversal of 10200001102110 is 1120110000201.

It is a happy number.

10200001102110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10200001102092 and 10200001102101.

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, 76033654 + ... + 76167686.

It is an arithmetic number, because the mean of its divisors is an integer number (292508094645).

Almost surely, 2^{10200001102110} is an apocalyptic number.

10200001102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200001102110 is an abundant number, since it is smaller than the sum of its proper divisors (17880775983810).

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

10200001102110 is a wasteful number, since it uses less digits than its factorization.

10200001102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183802 (or 183799 counting only the distinct ones).

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

Adding to 10200001102110 its reverse (1120110000201), we get a palindrome (11320111102311).

The spelling of 10200001102110 in words is "ten trillion, two hundred billion, one million, one hundred two thousand, one hundred ten".