10100001020112 has 160 divisors (see below), whose sum is σ = 29493683712000. Its totient is φ = 3308305875840.

The previous prime is 10100001020077. The next prime is 10100001020147. The reversal of 10100001020112 is 21102010000101.

It is a happy number.

10100001020112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10100001020077) and next prime (10100001020147).

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 = 10100001020094 and 10100001020103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65962939 + ... + 66115877.

It is an arithmetic number, because the mean of its divisors is an integer number (184335523200).

Almost surely, 2^{10100001020112} is an apocalyptic number.

10100001020112 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 10100001020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14746841856000).

10100001020112 is an abundant number, since it is smaller than the sum of its proper divisors (19393682691888).

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

10100001020112 is a wasteful number, since it uses less digits than its factorization.

10100001020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155606 (or 155594 counting only the distinct ones).

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

Adding to 10100001020112 its reverse (21102010000101), we get a palindrome (31202011020213).

The spelling of 10100001020112 in words is "ten trillion, one hundred billion, one million, twenty thousand, one hundred twelve".