10101211101120 has 56 divisors (see below), whose sum is σ = 32071345249104. Its totient is φ = 2693656293376.

The previous prime is 10101211101103. The next prime is 10101211101187. The reversal of 10101211101120 is 2110111210101.

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 = 10101211101096 and 10101211101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5261046489 + ... + 5261048408.

It is an arithmetic number, because the mean of its divisors is an integer number (572702593734).

Almost surely, 2^{10101211101120} is an apocalyptic number.

10101211101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101211101120 is an abundant number, since it is smaller than the sum of its proper divisors (21970134147984).

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

10101211101120 is a wasteful number, since it uses less digits than its factorization.

10101211101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522094917 (or 10522094907 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10101211101120 its reverse (2110111210101), we get a palindrome (12211322311221).

The spelling of 10101211101120 in words is "ten trillion, one hundred one billion, two hundred eleven million, one hundred one thousand, one hundred twenty".