101020111121929 has 2 divisors, whose sum is σ = 101020111121930. Its totient is φ = 101020111121928.

The previous prime is 101020111121911. The next prime is 101020111121933. The reversal of 101020111121929 is 929121111020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86500658128329 + 14519452993600 = 9300573^2 + 3810440^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020111121929 - 2¹³ = 101020111113737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101020111121929.

It is not a weakly prime, because it can be changed into another prime (101020111121999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510055560964 + 50510055560965.

It is an arithmetic number, because the mean of its divisors is an integer number (50510055560965).

Almost surely, 2^{101020111121929} is an apocalyptic number.

It is an amenable number.

101020111121929 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020111121929 is an equidigital number, since it uses as much as digits as its factorization.

101020111121929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 31.

The spelling of 101020111121929 in words is "one hundred one trillion, twenty billion, one hundred eleven million, one hundred twenty-one thousand, nine hundred twenty-nine".