901111211202101 has 2 divisors, whose sum is σ = 901111211202102. Its totient is φ = 901111211202100.

The previous prime is 901111211202067. The next prime is 901111211202127. The reversal of 901111211202101 is 101202112111109.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 616177655201476 + 284933556000625 = 24822926^2 + 16879975^2 .

It is an emirp because it is prime and its reverse (101202112111109) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 901111211202101 - 2²² = 901111207007797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (901111211202131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450555605601050 + 450555605601051.

It is an arithmetic number, because the mean of its divisors is an integer number (450555605601051).

Almost surely, 2^{901111211202101} is an apocalyptic number.

It is an amenable number.

901111211202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

901111211202101 is an equidigital number, since it uses as much as digits as its factorization.

901111211202101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 901111211202101 in words is "nine hundred one trillion, one hundred eleven billion, two hundred eleven million, two hundred two thousand, one hundred one".