101002001112 has 64 divisors (see below), whose sum is σ = 280587621600. Its totient is φ = 33664152960.

The previous prime is 101002001099. The next prime is 101002001117. The reversal of 101002001112 is 211100200101.

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 = 101002001094 and 101002001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002001117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3784198 + ... + 3810794.

Almost surely, 2^101002001112 is an apocalyptic number.

101002001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002001112 is an abundant number, since it is smaller than the sum of its proper divisors (179585620488).

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

101002001112 is a wasteful number, since it uses less digits than its factorization.

101002001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44193 (or 44183 counting only the distinct ones).

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

Adding to 101002001112 its reverse (211100200101), we get a palindrome (312102201213).

The spelling of 101002001112 in words is "one hundred one billion, two million, one thousand, one hundred twelve".