10102001112 has 144 divisors (see below), whose sum is σ = 32302235160. Its totient is φ = 2843140608.

The previous prime is 10102001099. The next prime is 10102001167. The reversal of 10102001112 is 21110020101.

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 = 10102001094 and 10102001103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215008 + ... + 257744.

Almost surely, 2^10102001112 is an apocalyptic number.

10102001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16151117580).

10102001112 is an abundant number, since it is smaller than the sum of its proper divisors (22200234048).

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

10102001112 is a wasteful number, since it uses less digits than its factorization.

10102001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42830 (or 42816 counting only the distinct ones).

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

Adding to 10102001112 its reverse (21110020101), we get a palindrome (31212021213).

The spelling of 10102001112 in words is "ten billion, one hundred two million, one thousand, one hundred twelve".