101000112002010 has 192 divisors, whose sum is σ = 285594991718400. Its totient is φ = 24615963016704.

The previous prime is 101000112001991. The next prime is 101000112002033. The reversal of 101000112002010 is 10200211000101.

It is a happy number.

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 = 101000112001983 and 101000112002001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 732511356 + ... + 732649224.

It is an arithmetic number, because the mean of its divisors is an integer number (1487473915200).

Almost surely, 2^{101000112002010} is an apocalyptic number.

101000112002010 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 101000112002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142797495859200).

101000112002010 is an abundant number, since it is smaller than the sum of its proper divisors (184594879716390).

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

101000112002010 is a wasteful number, since it uses less digits than its factorization.

101000112002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144077 (or 144074 counting only the distinct ones).

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

Adding to 101000112002010 its reverse (10200211000101), we get a palindrome (111200323002111).

The spelling of 101000112002010 in words is "one hundred one trillion, one hundred twelve million, two thousand, ten".