1034100101 has 2 divisors, whose sum is σ = 1034100102. Its totient is φ = 1034100100.

The previous prime is 1034100097. The next prime is 1034100107. The reversal of 1034100101 is 1010014301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 879122500 + 154977601 = 29650^2 + 12449^2 .

It is a cyclic number.

It is not a de Polignac number, because 1034100101 - 2² = 1034100097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1034100107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517050050 + 517050051.

It is an arithmetic number, because the mean of its divisors is an integer number (517050051).

Almost surely, 2^1034100101 is an apocalyptic number.

It is an amenable number.

1034100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1034100101 is an equidigital number, since it uses as much as digits as its factorization.

1034100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1034100101 is about 32157.4268404672. The cubic root of 1034100101 is about 1011.2398918337.

Adding to 1034100101 its reverse (1010014301), we get a palindrome (2044114402).

The spelling of 1034100101 in words is "one billion, thirty-four million, one hundred thousand, one hundred one".