10000101102020 has 24 divisors (see below), whose sum is σ = 21014908114200. Its totient is φ = 3997241240832.

The previous prime is 10000101102001. The next prime is 10000101102023. The reversal of 10000101102020 is 2020110100001.

It can be written as a sum of positive squares in 4 ways, for example, as 13907013184 + 9986194088836 = 117928^2 + 3160094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10000101101989 and 10000101102007.

It is not an unprimeable number, because it can be changed into a prime (10000101102023) 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, 174920705 + ... + 174977864.

It is an arithmetic number, because the mean of its divisors is an integer number (875621171425).

Almost surely, 2^{10000101102020} is an apocalyptic number.

10000101102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000101102020 is an abundant number, since it is smaller than the sum of its proper divisors (11014807012180).

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

10000101102020 is a wasteful number, since it uses less digits than its factorization.

10000101102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349900007 (or 349900005 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000101102020 its reverse (2020110100001), we get a palindrome (12020211202021).

The spelling of 10000101102020 in words is "ten trillion, one hundred one million, one hundred two thousand, twenty".