20100001101120 has 168 divisors, whose sum is σ = 69138434077440. Its totient is φ = 5359782804480.

The previous prime is 20100001101113. The next prime is 20100001101161. The reversal of 20100001101120 is 2110110000102.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 78412521 + ... + 78668439.

It is an arithmetic number, because the mean of its divisors is an integer number (411538298080).

Almost surely, 2^{20100001101120} is an apocalyptic number.

20100001101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100001101120 is an abundant number, since it is smaller than the sum of its proper divisors (49038432976320).

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

20100001101120 is a wasteful number, since it uses less digits than its factorization.

20100001101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283213 (or 283200 counting only the distinct ones).

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

Adding to 20100001101120 its reverse (2110110000102), we get a palindrome (22210111101222).

The spelling of 20100001101120 in words is "twenty trillion, one hundred billion, one million, one hundred one thousand, one hundred twenty".