101020002020957 has 2 divisors, whose sum is σ = 101020002020958. Its totient is φ = 101020002020956.

The previous prime is 101020002020929. The next prime is 101020002021023. The reversal of 101020002020957 is 759020200020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100772566410916 + 247435610041 = 10038554^2 + 497429^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020002020957 - 2¹⁶ = 101020001955421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020052020957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510001010478 + 50510001010479.

It is an arithmetic number, because the mean of its divisors is an integer number (50510001010479).

Almost surely, 2^{101020002020957} is an apocalyptic number.

It is an amenable number.

101020002020957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020002020957 is an equidigital number, since it uses as much as digits as its factorization.

101020002020957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 29.

The spelling of 101020002020957 in words is "one hundred one trillion, twenty billion, two million, twenty thousand, nine hundred fifty-seven".