10101011110120 has 192 divisors, whose sum is σ = 26586763650000. Its totient is φ = 3443751456768.

The previous prime is 10101011110067. The next prime is 10101011110171. The reversal of 10101011110120 is 2101111010101.

It can be written as a sum of positive squares in 8 ways, for example, as 5441983833636 + 4659027276484 = 2332806^2 + 2158478^2 .

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 = 10101011110097 and 10101011110106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254100006 + ... + 254139754.

Almost surely, 2^{10101011110120} is an apocalyptic number.

10101011110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101011110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293381825000).

10101011110120 is an abundant number, since it is smaller than the sum of its proper divisors (16485752539880).

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

10101011110120 is a wasteful number, since it uses less digits than its factorization.

10101011110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40500 (or 40489 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10101011110120 its reverse (2101111010101), we get a palindrome (12202122120221).

The spelling of 10101011110120 in words is "ten trillion, one hundred one billion, eleven million, one hundred ten thousand, one hundred twenty".