2001102101120 has 128 divisors (see below), whose sum is σ = 4909095147600. Its totient is φ = 779558584320.

The previous prime is 2001102101099. The next prime is 2001102101137. The reversal of 2001102101120 is 211012011002.

It can be written as a sum of positive squares in 8 ways, for example, as 1623014848576 + 378087252544 = 1273976^2 + 614888^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15074396 + ... + 15206564.

Almost surely, 2^{2001102101120} is an apocalyptic number.

2001102101120 is a gapful number since it is divisible by the number (20) 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 2001102101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454547573800).

2001102101120 is an abundant number, since it is smaller than the sum of its proper divisors (2907993046480).

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

2001102101120 is a wasteful number, since it uses less digits than its factorization.

2001102101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132806 (or 132794 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2001102101120 its reverse (211012011002), we get a palindrome (2212114112122).

The spelling of 2001102101120 in words is "two trillion, one billion, one hundred two million, one hundred one thousand, one hundred twenty".