10122020201000 has 64 divisors (see below), whose sum is σ = 25078793622480. Its totient is φ = 3810642892800.

The previous prime is 10122020200807. The next prime is 10122020201003. The reversal of 10122020201000 is 10202022101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1527167037796 + 8594853163204 = 1235786^2 + 2931698^2 .

It is not an unprimeable number, because it can be changed into a prime (10122020201003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297689477 + ... + 297723476.

Almost surely, 2^{10122020201000} is an apocalyptic number.

10122020201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122020201000 is an abundant number, since it is smaller than the sum of its proper divisors (14956773421480).

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

10122020201000 is a wasteful number, since it uses less digits than its factorization.

10122020201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595412991 (or 595412977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10122020201000 its reverse (10202022101), we get a palindrome (10132222223101).

The spelling of 10122020201000 in words is "ten trillion, one hundred twenty-two billion, twenty million, two hundred one thousand".