10120212200020 has 48 divisors (see below), whose sum is σ = 22887988856208. Its totient is φ = 3736572963840.

The previous prime is 10120212199991. The next prime is 10120212200041. The reversal of 10120212200020 is 2000221202101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 125420805904 + 9994791394116 = 354148^2 + 3161454^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7639512 + ... + 8865808.

It is an arithmetic number, because the mean of its divisors is an integer number (476833101171).

Almost surely, 2^{10120212200020} is an apocalyptic number.

10120212200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120212200020 is an abundant number, since it is smaller than the sum of its proper divisors (12767776656188).

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

10120212200020 is a wasteful number, since it uses less digits than its factorization.

10120212200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258060 (or 1258058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10120212200020 its reverse (2000221202101), we get a palindrome (12120433402121).

The spelling of 10120212200020 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, two hundred thousand, twenty".