10201000121010 has 48 divisors (see below), whose sum is σ = 26526400115904. Its totient is φ = 2719876975776.

The previous prime is 10201000120991. The next prime is 10201000121057. The reversal of 10201000121010 is 1012100010201.

It is a happy number.

10201000121010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10201000120983 and 10201000121001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7487272 + ... + 8744211.

It is an arithmetic number, because the mean of its divisors is an integer number (552633335748).

Almost surely, 2^{10201000121010} is an apocalyptic number.

10201000121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201000121010 is an abundant number, since it is smaller than the sum of its proper divisors (16325399994894).

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

10201000121010 is a wasteful number, since it uses less digits than its factorization.

10201000121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16238479 (or 16238476 counting only the distinct ones).

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

Adding to 10201000121010 its reverse (1012100010201), we get a palindrome (11213100131211).

The spelling of 10201000121010 in words is "ten trillion, two hundred one billion, one hundred twenty-one thousand, ten".