10000101211120 has 40 divisors (see below), whose sum is σ = 23367070706400. Its totient is φ = 3979939772160.

The previous prime is 10000101211097. The next prime is 10000101211123. The reversal of 10000101211120 is 2111210100001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10000101211097 and 10000101211106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314057611 + ... + 314089450.

It is an arithmetic number, because the mean of its divisors is an integer number (584176767660).

Almost surely, 2^{10000101211120} is an apocalyptic number.

10000101211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000101211120 is an abundant number, since it is smaller than the sum of its proper divisors (13366969495280).

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

10000101211120 is a wasteful number, since it uses less digits than its factorization.

10000101211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628147273 (or 628147267 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10000101211120 its reverse (2111210100001), we get a palindrome (12111311311121).

The spelling of 10000101211120 in words is "ten trillion, one hundred one million, two hundred eleven thousand, one hundred twenty".