101020012193929 has 2 divisors, whose sum is σ = 101020012193930. Its totient is φ = 101020012193928.

The previous prime is 101020012193873. The next prime is 101020012193953. The reversal of 101020012193929 is 929391210020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98512771129600 + 2507241064329 = 9925360^2 + 1583427^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020012193929 - 2¹¹ = 101020012191881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020012193891 and 101020012193900.

It is not a weakly prime, because it can be changed into another prime (101020012193959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510006096964 + 50510006096965.

It is an arithmetic number, because the mean of its divisors is an integer number (50510006096965).

Almost surely, 2^{101020012193929} is an apocalyptic number.

It is an amenable number.

101020012193929 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020012193929 is an equidigital number, since it uses as much as digits as its factorization.

101020012193929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 40.

The spelling of 101020012193929 in words is "one hundred one trillion, twenty billion, twelve million, one hundred ninety-three thousand, nine hundred twenty-nine".