10200102011010 has 96 divisors (see below), whose sum is σ = 27301728937392. Its totient is φ = 2640226337280.

The previous prime is 10200102011003. The next prime is 10200102011023. The reversal of 10200102011010 is 1011020100201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1534667559489 + 8665434451521 = 1238817^2 + 2943711^2 .

It is a super-2 number, since 2×10200102011010² (a number of 27 digits) contains 22 as substring.

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 = 10200102010983 and 10200102011001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2235949 + ... + 5039808.

Almost surely, 2^{10200102011010} is an apocalyptic number.

10200102011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200102011010 is an abundant number, since it is smaller than the sum of its proper divisors (17101626926382).

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

10200102011010 is a wasteful number, since it uses less digits than its factorization.

10200102011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276228 (or 7276225 counting only the distinct ones).

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

Adding to 10200102011010 its reverse (1011020100201), we get a palindrome (11211122111211).

The spelling of 10200102011010 in words is "ten trillion, two hundred billion, one hundred two million, eleven thousand, ten".