10212144121201 has 16 divisors (see below), whose sum is σ = 11148760844928. Its totient is φ = 9276902611200.

The previous prime is 10212144121183. The next prime is 10212144121219.

10212144121201 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10212144121183) and next prime (10212144121219).

It is a cyclic number.

It is not a de Polignac number, because 10212144121201 - 2²³ = 10212135732593 is a prime.

It is a super-3 number, since 3×10212144121201³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10212144121901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118274836 + ... + 118361146.

It is an arithmetic number, because the mean of its divisors is an integer number (696797552808).

Almost surely, 2^{10212144121201} is an apocalyptic number.

10212144121201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10212144121201 is a deficient number, since it is larger than the sum of its proper divisors (936616723727).

10212144121201 is a wasteful number, since it uses less digits than its factorization.

10212144121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94152.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 1021214 and 4121201, that added together give a palindrome (5142415).

The spelling of 10212144121201 in words is "ten trillion, two hundred twelve billion, one hundred forty-four million, one hundred twenty-one thousand, two hundred one".