1020101102010 has 48 divisors (see below), whose sum is σ = 2652369554016. Its totient is φ = 272016018144.

The previous prime is 1020101101993. The next prime is 1020101102017. The reversal of 1020101102010 is 102011010201.

It is a happy number.

1020101102010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1020101101983 and 1020101102001.

It is not an unprimeable number, because it can be changed into a prime (1020101102017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2160057 + ... + 2589603.

It is an arithmetic number, because the mean of its divisors is an integer number (55257699042).

Almost surely, 2^{1020101102010} is an apocalyptic number.

1020101102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020101102010 is an abundant number, since it is smaller than the sum of its proper divisors (1632268452006).

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

1020101102010 is a wasteful number, since it uses less digits than its factorization.

1020101102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455947 (or 455944 counting only the distinct ones).

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

Adding to 1020101102010 its reverse (102011010201), we get a palindrome (1122112112211).

The spelling of 1020101102010 in words is "one trillion, twenty billion, one hundred one million, one hundred two thousand, ten".