10101122101020 has 96 divisors (see below), whose sum is σ = 29197458855936. Its totient is φ = 2606566406400.

The previous prime is 10101122100997. The next prime is 10101122101043. The reversal of 10101122101020 is 2010122110101.

It is an interprime number because it is at equal distance from previous prime (10101122100997) and next prime (10101122101043).

It is a super-3 number, since 3×10101122101020³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10101122100987 and 10101122101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28806387 + ... + 29154933.

It is an arithmetic number, because the mean of its divisors is an integer number (304140196416).

Almost surely, 2^{10101122101020} is an apocalyptic number.

10101122101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101122101020 is an abundant number, since it is smaller than the sum of its proper divisors (19096336754916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101122101020 is a wasteful number, since it uses less digits than its factorization.

10101122101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364171 (or 364169 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10101122101020 its reverse (2010122110101), we get a palindrome (12111244211121).

The spelling of 10101122101020 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, one hundred one thousand, twenty".