10141211214101 has 8 divisors (see below), whose sum is σ = 11070609571008. Its totient is φ = 9213057868000.

The previous prime is 10141211214097. The next prime is 10141211214109.

10141211214101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10141211214101 - 2² = 10141211214097 is a prime.

It is a super-2 number, since 2×10141211214101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141211214109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311235665 + ... + 311268246.

It is an arithmetic number, because the mean of its divisors is an integer number (1383826196376).

Almost surely, 2^{10141211214101} is an apocalyptic number.

10141211214101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10141211214101 is a deficient number, since it is larger than the sum of its proper divisors (929398356907).

10141211214101 is a wasteful number, since it uses less digits than its factorization.

10141211214101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622505403.

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 1014121 and 1214101, that added together give a palindrome (2228222).

The spelling of 10141211214101 in words is "ten trillion, one hundred forty-one billion, two hundred eleven million, two hundred fourteen thousand, one hundred one".