10120221100011 has 32 divisors (see below), whose sum is σ = 14868655819776. Its totient is φ = 6071682560000.

The previous prime is 10120221100007. The next prime is 10120221100019. The reversal of 10120221100011 is 11000112202101.

10120221100011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10120221100011 - 2² = 10120221100007 is a prime.

It is a super-2 number, since 2×10120221100011² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10120221100011.

It is not an unprimeable number, because it can be changed into a prime (10120221100019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19093291 + ... + 19616171.

It is an arithmetic number, because the mean of its divisors is an integer number (464645494368).

Almost surely, 2^{10120221100011} is an apocalyptic number.

10120221100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120221100011 is a deficient number, since it is larger than the sum of its proper divisors (4748434719765).

10120221100011 is a wasteful number, since it uses less digits than its factorization.

10120221100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528803.

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

Adding to 10120221100011 its reverse (11000112202101), we get a palindrome (21120333302112).

The spelling of 10120221100011 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, one hundred thousand, eleven".