10100101122020 has 192 divisors, whose sum is σ = 27558040043520. Its totient is φ = 3019547248128.

The previous prime is 10100101122019. The next prime is 10100101122053. The reversal of 10100101122020 is 2022110100101.

It is a junction number, because it is equal to n+sod(n) for n = 10100101121992 and 10100101122010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11578397 + ... + 12420123.

It is an arithmetic number, because the mean of its divisors is an integer number (143531458560).

Almost surely, 2^{10100101122020} is an apocalyptic number.

10100101122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100101122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13779020021760).

10100101122020 is an abundant number, since it is smaller than the sum of its proper divisors (17457938921500).

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

10100101122020 is a wasteful number, since it uses less digits than its factorization.

10100101122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842122 (or 842120 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100101122020 its reverse (2022110100101), we get a palindrome (12122211222121).

The spelling of 10100101122020 in words is "ten trillion, one hundred billion, one hundred one million, one hundred twenty-two thousand, twenty".