101020110000100 has 36 divisors (see below), whose sum is σ = 219512702486644. Its totient is φ = 40352917034880.

The previous prime is 101020110000067. The next prime is 101020110000151. The reversal of 101020110000100 is 1000011020101.

It can be written as a sum of positive squares in 6 ways, for example, as 439950970944 + 100580159029156 = 663288^2 + 10028966^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689013399 + ... + 689159998.

Almost surely, 2^{101020110000100} is an apocalyptic number.

101020110000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020110000100 is an abundant number, since it is smaller than the sum of its proper divisors (118492592486544).

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

101020110000100 is a wasteful number, since it uses less digits than its factorization.

101020110000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378174144 (or 1378174137 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101020110000100 its reverse (1000011020101), we get a palindrome (102020121020201).

The spelling of 101020110000100 in words is "one hundred one trillion, twenty billion, one hundred ten million, one hundred", and thus it is an aban number.