10102002011010 has 160 divisors (see below), whose sum is σ = 33431582967552. Its totient is φ = 2131411397760.

The previous prime is 10102002010937. The next prime is 10102002011039. The reversal of 10102002011010 is 1011020020101.

It is a happy number.

It is a super-2 number, since 2×10102002011010² (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 = 10102002010983 and 10102002011001.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 68451606 + ... + 68599025.

Almost surely, 2^{10102002011010} is an apocalyptic number.

10102002011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102002011010 is an abundant number, since it is smaller than the sum of its proper divisors (23329580956542).

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

10102002011010 is a wasteful number, since it uses less digits than its factorization.

10102002011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137050670 (or 137050661 counting only the distinct ones).

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

Adding to 10102002011010 its reverse (1011020020101), we get a palindrome (11113022031111).

The spelling of 10102002011010 in words is "ten trillion, one hundred two billion, two million, eleven thousand, ten".