10102001001220 has 12 divisors (see below), whose sum is σ = 21214202102604. Its totient is φ = 4040800400480.

The previous prime is 10102001001217. The next prime is 10102001001223. The reversal of 10102001001220 is 2210010020101.

It is an interprime number because it is at equal distance from previous prime (10102001001217) and next prime (10102001001223).

It can be written as a sum of positive squares in 2 ways, for example, as 1329113848384 + 8772887152836 = 1152872^2 + 2961906^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10102001001197 and 10102001001206.

It is not an unprimeable number, because it can be changed into a prime (10102001001223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252550025011 + ... + 252550025050.

It is an arithmetic number, because the mean of its divisors is an integer number (1767850175217).

Almost surely, 2^{10102001001220} is an apocalyptic number.

10102001001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102001001220 is an abundant number, since it is smaller than the sum of its proper divisors (11112201101384).

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

10102001001220 is a wasteful number, since it uses less digits than its factorization.

10102001001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505100050070 (or 505100050068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102001001220 its reverse (2210010020101), we get a palindrome (12312011021321).

The spelling of 10102001001220 in words is "ten trillion, one hundred two billion, one million, one thousand, two hundred twenty".