10100100101051 has 2 divisors, whose sum is σ = 10100100101052. Its totient is φ = 10100100101050.

The previous prime is 10100100101027. The next prime is 10100100101081. The reversal of 10100100101051 is 15010100100101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100100101051 - 2³⁸ = 9825222194107 is a prime.

It is a super-2 number, since 2×10100100101051² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (10100100101081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050050525 + 5050050050526.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050050526).

Almost surely, 2^{10100100101051} is an apocalyptic number.

10100100101051 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100101051 is an equidigital number, since it uses as much as digits as its factorization.

10100100101051 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 10100100101051 its reverse (15010100100101), we get a palindrome (25110200201152).

The spelling of 10100100101051 in words is "ten trillion, one hundred billion, one hundred million, one hundred one thousand, fifty-one".