10100012011123 has 2 divisors, whose sum is σ = 10100012011124. Its totient is φ = 10100012011122.

The previous prime is 10100012011097. The next prime is 10100012011151. The reversal of 10100012011123 is 32111021000101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100012011123 - 2¹³ = 10100012002931 is a prime.

It is a super-2 number, since 2×10100012011123² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100012011423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050006005561 + 5050006005562.

It is an arithmetic number, because the mean of its divisors is an integer number (5050006005562).

Almost surely, 2^{10100012011123} is an apocalyptic number.

10100012011123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100012011123 is an equidigital number, since it uses as much as digits as its factorization.

10100012011123 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 13.

Adding to 10100012011123 its reverse (32111021000101), we get a palindrome (42211033011224).

The spelling of 10100012011123 in words is "ten trillion, one hundred billion, twelve million, eleven thousand, one hundred twenty-three".