10102001020110 has 128 divisors (see below), whose sum is σ = 26986507067520. Its totient is φ = 2689085952000.

The previous prime is 10102001020093. The next prime is 10102001020141. The reversal of 10102001020110 is 1102010020101.

It is a happy number.

It is a super-2 number, since 2×10102001020110² (a number of 27 digits) contains 22 as substring.

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 = 10102001020092 and 10102001020101.

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, 670197534 + ... + 670212606.

It is an arithmetic number, because the mean of its divisors is an integer number (210832086465).

Almost surely, 2^{10102001020110} is an apocalyptic number.

10102001020110 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 10102001020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13493253533760).

10102001020110 is an abundant number, since it is smaller than the sum of its proper divisors (16884506047410).

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

10102001020110 is a wasteful number, since it uses less digits than its factorization.

10102001020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19331 (or 19325 counting only the distinct ones).

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

Adding to 10102001020110 its reverse (1102010020101), we get a palindrome (11204011040211).

The spelling of 10102001020110 in words is "ten trillion, one hundred two billion, one million, twenty thousand, one hundred ten".