1020102112010 has 16 divisors (see below), whose sum is σ = 1837901485800. Its totient is φ = 407659137216.

The previous prime is 1020102111967. The next prime is 1020102112037. The reversal of 1020102112010 is 102112010201.

1020102112010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 718590203809 + 301511908201 = 847697^2 + 549101^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020102111982 and 1020102112000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47702225 + ... + 47723604.

Almost surely, 2^{1020102112010} is an apocalyptic number.

1020102112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020102112010 is a deficient number, since it is larger than the sum of its proper divisors (817799373790).

1020102112010 is a wasteful number, since it uses less digits than its factorization.

1020102112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95426905.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1020102112010 its reverse (102112010201), we get a palindrome (1122214122211).

The spelling of 1020102112010 in words is "one trillion, twenty billion, one hundred two million, one hundred twelve thousand, ten".