10120021012101 has 64 divisors (see below), whose sum is σ = 19182664359936. Its totient is φ = 4567300992000.

The previous prime is 10120021012091. The next prime is 10120021012151. The reversal of 10120021012101 is 10121012002101.

It is not a de Polignac number, because 10120021012101 - 2⁵ = 10120021012069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120021012151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99065725 + ... + 99167826.

It is an arithmetic number, because the mean of its divisors is an integer number (299729130624).

Almost surely, 2^{10120021012101} is an apocalyptic number.

10120021012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120021012101 is a deficient number, since it is larger than the sum of its proper divisors (9062643347835).

10120021012101 is a wasteful number, since it uses less digits than its factorization.

10120021012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198233602.

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

Adding to 10120021012101 its reverse (10121012002101), we get a palindrome (20241033014202).

The spelling of 10120021012101 in words is "ten trillion, one hundred twenty billion, twenty-one million, twelve thousand, one hundred one".