2001101100102 has 96 divisors (see below), whose sum is σ = 4693873556736. Its totient is φ = 612482673600.

The previous prime is 2001101100091. The next prime is 2001101100149. The reversal of 2001101100102 is 2010011011002.

It is a happy number.

It is a super-2 number, since 2×2001101100102² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 35704033 + ... + 35760035.

It is an arithmetic number, because the mean of its divisors is an integer number (48894516216).

Almost surely, 2^{2001101100102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001101100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346936778368).

2001101100102 is an abundant number, since it is smaller than the sum of its proper divisors (2692772456634).

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

2001101100102 is a wasteful number, since it uses less digits than its factorization.

2001101100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56826 (or 56823 counting only the distinct ones).

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

Adding to 2001101100102 its reverse (2010011011002), we get a palindrome (4011112111104).

The spelling of 2001101100102 in words is "two trillion, one billion, one hundred one million, one hundred thousand, one hundred two".