101020002010 has 16 divisors (see below), whose sum is σ = 181854547272. Its totient is φ = 40403880000.

The previous prime is 101020002007. The next prime is 101020002019. The reversal of 101020002010 is 10200020101.

It can be written as a sum of positive squares in 4 ways, for example, as 100787835841 + 232166169 = 317471^2 + 15237^2 .

It is a super-2 number, since 2×101020002010² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101020001984 and 101020002002.

It is not an unprimeable number, because it can be changed into a prime (101020002019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411141 + ... + 609160.

Almost surely, 2^101020002010 is an apocalyptic number.

101020002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101020002010 is a deficient number, since it is larger than the sum of its proper divisors (80834545262).

101020002010 is a wasteful number, since it uses less digits than its factorization.

101020002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030209.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101020002010 its reverse (10200020101), we get a palindrome (111220022111).

The spelling of 101020002010 in words is "one hundred one billion, twenty million, two thousand, ten".