10212101011020 has 192 divisors, whose sum is σ = 30309648768000. Its totient is φ = 2561841561600.

The previous prime is 10212101010997. The next prime is 10212101011027. The reversal of 10212101011020 is 2011010121201.

It is a super-2 number, since 2×10212101011020² (a number of 27 digits) contains 22 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 = 10212101010987 and 10212101011005.

It is not an unprimeable number, because it can be changed into a prime (10212101011027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 524845132 + ... + 524864588.

It is an arithmetic number, because the mean of its divisors is an integer number (157862754000).

Almost surely, 2^{10212101011020} is an apocalyptic number.

10212101011020 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 10212101011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15154824384000).

10212101011020 is an abundant number, since it is smaller than the sum of its proper divisors (20097547756980).

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

10212101011020 is a wasteful number, since it uses less digits than its factorization.

10212101011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22688 (or 22686 counting only the distinct ones).

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

Adding to 10212101011020 its reverse (2011010121201), we get a palindrome (12223111132221).

The spelling of 10212101011020 in words is "ten trillion, two hundred twelve billion, one hundred one million, eleven thousand, twenty".