10200020101020 has 96 divisors (see below), whose sum is σ = 31847957332800. Its totient is φ = 2710185806592.

The previous prime is 10200020100997. The next prime is 10200020101049. The reversal of 10200020101020 is 2010102000201.

It is a super-2 number, since 2×10200020101020² (a number of 27 digits) contains 22 as substring.

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 = 10200020100993 and 10200020101011.

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, 33945955 + ... + 34245114.

It is an arithmetic number, because the mean of its divisors is an integer number (331749555550).

Almost surely, 2^{10200020101020} is an apocalyptic number.

10200020101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200020101020 is an abundant number, since it is smaller than the sum of its proper divisors (21647937231780).

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

10200020101020 is a wasteful number, since it uses less digits than its factorization.

10200020101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68191364 (or 68191356 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10200020101020 its reverse (2010102000201), we get a palindrome (12210122101221).

The spelling of 10200020101020 in words is "ten trillion, two hundred billion, twenty million, one hundred one thousand, twenty".