901021031012101 has 2 divisors, whose sum is σ = 901021031012102. Its totient is φ = 901021031012100.

The previous prime is 901021031012077. The next prime is 901021031012129. The reversal of 901021031012101 is 101210130120109.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 866263285387201 + 34757745624900 = 29432351^2 + 5895570^2 .

It is an emirp because it is prime and its reverse (101210130120109) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 901021031012101 - 2¹⁷ = 901021030881029 is a prime.

It is a super-2 number, since 2×901021031012101² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (901021031712101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450510515506050 + 450510515506051.

It is an arithmetic number, because the mean of its divisors is an integer number (450510515506051).

Almost surely, 2^{901021031012101} is an apocalyptic number.

It is an amenable number.

901021031012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

901021031012101 is an equidigital number, since it uses as much as digits as its factorization.

901021031012101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 901021031012101 in words is "nine hundred one trillion, twenty-one billion, thirty-one million, twelve thousand, one hundred one".