1001012102100 has 180 divisors, whose sum is σ = 3245845703100. Its totient is φ = 266857597440.

The previous prime is 1001012102087. The next prime is 1001012102117. The reversal of 1001012102100 is 12012101001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1104099984 + 999908002116 = 33228^2 + 999954^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30512506 + ... + 30545294.

Almost surely, 2^{1001012102100} is an apocalyptic number.

1001012102100 is a gapful number since it is divisible by the number (10) 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 1001012102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622922851550).

1001012102100 is an abundant number, since it is smaller than the sum of its proper divisors (2244833601000).

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

1001012102100 is a wasteful number, since it uses less digits than its factorization.

1001012102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36584 (or 36568 counting only the distinct ones).

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

Adding to 1001012102100 its reverse (12012101001), we get a palindrome (1013024203101).

The spelling of 1001012102100 in words is "one trillion, one billion, twelve million, one hundred two thousand, one hundred".