102010201000110 has 384 divisors, whose sum is σ = 306390651840000. Its totient is φ = 23323908980736.

The previous prime is 102010201000079. The next prime is 102010201000153. The reversal of 102010201000110 is 11000102010201.

It is a happy number.

102010201000110 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102010201000110² (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102010201000092 and 102010201000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4005256456 + ... + 4005281924.

It is an arithmetic number, because the mean of its divisors is an integer number (797892322500).

Almost surely, 2^{102010201000110} is an apocalyptic number.

102010201000110 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 102010201000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153195325920000).

102010201000110 is an abundant number, since it is smaller than the sum of its proper divisors (204380450839890).

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

102010201000110 is a wasteful number, since it uses less digits than its factorization.

102010201000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28140 (or 28137 counting only the distinct ones).

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

Adding to 102010201000110 its reverse (11000102010201), we get a palindrome (113010303010311).

The spelling of 102010201000110 in words is "one hundred two trillion, ten billion, two hundred one million, one hundred ten", and thus it is an aban number.