20101210101120 has 128 divisors (see below), whose sum is σ = 64300625318880. Its totient is φ = 5341246668800.

The previous prime is 20101210101109. The next prime is 20101210101121. The reversal of 20101210101120 is 2110101210102.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20101210101096 and 20101210101105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101210101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18089271 + ... + 19168310.

Almost surely, 2^{20101210101120} is an apocalyptic number.

20101210101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101210101120 is an abundant number, since it is smaller than the sum of its proper divisors (44199415217760).

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

20101210101120 is a wasteful number, since it uses less digits than its factorization.

20101210101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37257884 (or 37257872 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20101210101120 its reverse (2110101210102), we get a palindrome (22211311311222).

The spelling of 20101210101120 in words is "twenty trillion, one hundred one billion, two hundred ten million, one hundred one thousand, one hundred twenty".