10132121220101 has 2 divisors, whose sum is σ = 10132121220102. Its totient is φ = 10132121220100.

The previous prime is 10132121220049. The next prime is 10132121220127. The reversal of 10132121220101 is 10102212123101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8073610788100 + 2058510432001 = 2841410^2 + 1434751^2 .

It is a cyclic number.

It is not a de Polignac number, because 10132121220101 - 2¹⁴ = 10132121203717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10132121220101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10132121220301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066060610050 + 5066060610051.

It is an arithmetic number, because the mean of its divisors is an integer number (5066060610051).

Almost surely, 2^{10132121220101} is an apocalyptic number.

It is an amenable number.

10132121220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132121220101 is an equidigital number, since it uses as much as digits as its factorization.

10132121220101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10132121220101 its reverse (10102212123101), we get a palindrome (20234333343202).

The spelling of 10132121220101 in words is "ten trillion, one hundred thirty-two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred one".