10102011100020 has 288 divisors, whose sum is σ = 38453670597888. Its totient is φ = 2173205624832.

The previous prime is 10102011100019. The next prime is 10102011100039. The reversal of 10102011100020 is 2000111020101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10102011099975 and 10102011100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8155287 + ... + 9311966.

It is an arithmetic number, because the mean of its divisors is an integer number (133519689576).

Almost surely, 2^{10102011100020} is an apocalyptic number.

10102011100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102011100020 is an abundant number, since it is smaller than the sum of its proper divisors (28351659497868).

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

10102011100020 is a wasteful number, since it uses less digits than its factorization.

10102011100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17467301 (or 17467287 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10102011100020 its reverse (2000111020101), we get a palindrome (12102122120121).

The spelling of 10102011100020 in words is "ten trillion, one hundred two billion, eleven million, one hundred thousand, twenty".