21152701413101 has 16 divisors (see below), whose sum is σ = 21893045406960. Its totient is φ = 20423064453120.

The previous prime is 21152701413089. The next prime is 21152701413113. The reversal of 21152701413101 is 10131410725112.

It is an interprime number because it is at equal distance from previous prime (21152701413089) and next prime (21152701413113).

It can be written as a sum of positive squares in 8 ways, for example, as 7777260423076 + 13375440990025 = 2788774^2 + 3657245^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21152701413101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21152701413131) 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, 92426525 + ... + 92655101.

It is an arithmetic number, because the mean of its divisors is an integer number (1368315337935).

Almost surely, 2^{21152701413101} is an apocalyptic number.

It is an amenable number.

21152701413101 is a deficient number, since it is larger than the sum of its proper divisors (740343993859).

21152701413101 is a wasteful number, since it uses less digits than its factorization.

21152701413101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251984.

The product of its (nonzero) digits is 1680, while the sum is 29.

The spelling of 21152701413101 in words is "twenty-one trillion, one hundred fifty-two billion, seven hundred one million, four hundred thirteen thousand, one hundred one".