10102111120101 has 256 divisors, whose sum is σ = 18967630897152. Its totient is φ = 4614241075200.

The previous prime is 10102111119943. The next prime is 10102111120147.

10102111120101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10102111120101 - 2⁹ = 10102111119589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102111120901) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1111216566 + ... + 1111225656.

It is an arithmetic number, because the mean of its divisors is an integer number (74092308192).

Almost surely, 2^{10102111120101} is an apocalyptic number.

10102111120101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102111120101 is a deficient number, since it is larger than the sum of its proper divisors (8865519777051).

10102111120101 is a wasteful number, since it uses less digits than its factorization.

10102111120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9372.

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

It can be divided in two parts, 1010211 and 1120101, that multiplied together give a palindrome (1131538351311).

The spelling of 10102111120101 in words is "ten trillion, one hundred two billion, one hundred eleven million, one hundred twenty thousand, one hundred one".