2000101101102 has 72 divisors (see below), whose sum is σ = 4695451312968. Its totient is φ = 615034555200.

The previous prime is 2000101101079. The next prime is 2000101101121. The reversal of 2000101101102 is 2011011010002.

It is a happy number.

It is a super-2 number, since 2×2000101101102² (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 35 ways as a sum of consecutive naturals, for example, 4728277 + ... + 5133887.

It is an arithmetic number, because the mean of its divisors is an integer number (65214601569).

Almost surely, 2^{2000101101102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000101101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347725656484).

2000101101102 is an abundant number, since it is smaller than the sum of its proper divisors (2695350211866).

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

2000101101102 is a wasteful number, since it uses less digits than its factorization.

2000101101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407266 (or 407250 counting only the distinct ones).

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

Adding to 2000101101102 its reverse (2011011010002), we get a palindrome (4011112111104).

The spelling of 2000101101102 in words is "two trillion, one hundred one million, one hundred one thousand, one hundred two".