101020221083737 has 2 divisors, whose sum is σ = 101020221083738. Its totient is φ = 101020221083736.

The previous prime is 101020221083723. The next prime is 101020221083777. The reversal of 101020221083737 is 737380122020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98283906302976 + 2736314780761 = 9913824^2 + 1654181^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020221083737 - 2²⁷ = 101020086866009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020221083696 and 101020221083705.

It is not a weakly prime, because it can be changed into another prime (101020221083707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510110541868 + 50510110541869.

It is an arithmetic number, because the mean of its divisors is an integer number (50510110541869).

Almost surely, 2^{101020221083737} is an apocalyptic number.

It is an amenable number.

101020221083737 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020221083737 is an equidigital number, since it uses as much as digits as its factorization.

101020221083737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 101020221083737 in words is "one hundred one trillion, twenty billion, two hundred twenty-one million, eighty-three thousand, seven hundred thirty-seven".