101201403412241 has 32 divisors (see below), whose sum is σ = 113475415173120. Its totient is φ = 89459034537600.

The previous prime is 101201403412211. The next prime is 101201403412253. The reversal of 101201403412241 is 142214304102101.

It is a cyclic number.

It is not a de Polignac number, because 101201403412241 - 2²⁶ = 101201336303377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101201403412241.

It is not an unprimeable number, because it can be changed into a prime (101201403412211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598460540 + ... + 598629618.

It is an arithmetic number, because the mean of its divisors is an integer number (3546106724160).

Almost surely, 2^{101201403412241} is an apocalyptic number.

101201403412241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201403412241 is a deficient number, since it is larger than the sum of its proper divisors (12274011760879).

101201403412241 is a wasteful number, since it uses less digits than its factorization.

101201403412241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174797.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 101201403412241 its reverse (142214304102101), we get a palindrome (243415707514342).

The spelling of 101201403412241 in words is "one hundred one trillion, two hundred one billion, four hundred three million, four hundred twelve thousand, two hundred forty-one".