1020101022201 has 16 divisors (see below), whose sum is σ = 1381113790848. Its totient is φ = 669603110400.

The previous prime is 1020101022097. The next prime is 1020101022203. The reversal of 1020101022201 is 1022201010201.

1020101022201 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020101022201 - 2⁹ = 1020101021689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020101022203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3002040 + ... + 3324521.

It is an arithmetic number, because the mean of its divisors is an integer number (86319611928).

Almost surely, 2^{1020101022201} is an apocalyptic number.

It is an amenable number.

1020101022201 is a deficient number, since it is larger than the sum of its proper divisors (361012768647).

1020101022201 is an equidigital number, since it uses as much as digits as its factorization.

1020101022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327392.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020101022201 its reverse (1022201010201), we get a palindrome (2042302032402).

It can be divided in two parts, 102010 and 1022201, that added together give a palindrome (1124211).

The spelling of 1020101022201 in words is "one trillion, twenty billion, one hundred one million, twenty-two thousand, two hundred one".