10101102101 has 2 divisors, whose sum is σ = 10101102102. Its totient is φ = 10101102100.

The previous prime is 10101102097. The next prime is 10101102131. The reversal of 10101102101 is 10120110101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9970022500 + 131079601 = 99850^2 + 11449^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101102101 - 2² = 10101102097 is a prime.

It is a super-2 number, since 2×10101102101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101102131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050551050 + 5050551051.

It is an arithmetic number, because the mean of its divisors is an integer number (5050551051).

Almost surely, 2^10101102101 is an apocalyptic number.

It is an amenable number.

10101102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101102101 is an equidigital number, since it uses as much as digits as its factorization.

10101102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10101102101 its reverse (10120110101), we get a palindrome (20221212202).

The spelling of 10101102101 in words is "ten billion, one hundred one million, one hundred two thousand, one hundred one".