101010201010111 has 48 divisors (see below), whose sum is σ = 107634149820288. Its totient is φ = 94732306099200.

The previous prime is 101010201010099. The next prime is 101010201010127. The reversal of 101010201010111 is 111010102010101.

It is not a de Polignac number, because 101010201010111 - 2¹⁷ = 101010200879039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010201050111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18660666241 + ... + 18660671653.

It is an arithmetic number, because the mean of its divisors is an integer number (2242378121256).

Almost surely, 2^{101010201010111} is an apocalyptic number.

101010201010111 is a deficient number, since it is larger than the sum of its proper divisors (6623948810177).

101010201010111 is a wasteful number, since it uses less digits than its factorization.

101010201010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7780 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101010201010111 its reverse (111010102010101), we get a palindrome (212020303020212).

It can be divided in two parts, 1010102010101 and 11, that multiplied together give a palindrome (11111122111111).

The spelling of 101010201010111 in words is "one hundred one trillion, ten billion, two hundred one million, ten thousand, one hundred eleven".