10210111101201 has 24 divisors (see below), whose sum is σ = 15039536162112. Its totient is φ = 6156535184800.

The previous prime is 10210111101181. The next prime is 10210111101217.

10210111101201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10210111101201 - 2⁶ = 10210111101137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10210111101901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71316885 + ... + 71459906.

It is an arithmetic number, because the mean of its divisors is an integer number (626647340088).

Almost surely, 2^{10210111101201} is an apocalyptic number.

10210111101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210111101201 is a deficient number, since it is larger than the sum of its proper divisors (4829425060911).

10210111101201 is a wasteful number, since it uses less digits than its factorization.

10210111101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142777013 (or 142777002 counting only the distinct ones).

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

It can be divided in two parts, 1021011 and 1101201, that multiplied together give a palindrome (1124338334211).

The spelling of 10210111101201 in words is "ten trillion, two hundred ten billion, one hundred eleven million, one hundred one thousand, two hundred one".