10101022010101 has 8 divisors (see below), whose sum is σ = 11275559453664. Its totient is φ = 8969195019120.

The previous prime is 10101022010081. The next prime is 10101022010197.

10101022010101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10101022010101 - 2²³ = 10101013621493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101022010501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10677612646 + ... + 10677613591.

It is an arithmetic number, because the mean of its divisors is an integer number (1409444931708).

Almost surely, 2^{10101022010101} is an apocalyptic number.

10101022010101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101022010101 is a deficient number, since it is larger than the sum of its proper divisors (1174537443563).

10101022010101 is a wasteful number, since it uses less digits than its factorization.

10101022010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21355226291.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1010102 and 2010101, that multiplied together give a palindrome (2030407040302).

The spelling of 10101022010101 in words is "ten trillion, one hundred one billion, twenty-two million, ten thousand, one hundred one".