10020120101010 has 96 divisors (see below), whose sum is σ = 26211512124720. Its totient is φ = 2655713992704.

The previous prime is 10020120101003. The next prime is 10020120101039. The reversal of 10020120101010 is 1010102102001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8811938817081 + 1208181283929 = 2968491^2 + 1099173^2 .

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 = 10020120100983 and 10020120101001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47991562 + ... + 48199898.

Almost surely, 2^{10020120101010} is an apocalyptic number.

10020120101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020120101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13105756062360).

10020120101010 is an abundant number, since it is smaller than the sum of its proper divisors (16191392023710).

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

10020120101010 is a wasteful number, since it uses less digits than its factorization.

10020120101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211612 (or 211609 counting only the distinct ones).

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

Adding to 10020120101010 its reverse (1010102102001), we get a palindrome (11030222203011).

The spelling of 10020120101010 in words is "ten trillion, twenty billion, one hundred twenty million, one hundred one thousand, ten".