1020101102100 has 144 divisors (see below), whose sum is σ = 3324360560640. Its totient is φ = 268300512000.

The previous prime is 1020101102099. The next prime is 1020101102131. The reversal of 1020101102100 is 12011010201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 2390676 + ... + 2784875.

Almost surely, 2^{1020101102100} is an apocalyptic number.

1020101102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020101102100 is an abundant number, since it is smaller than the sum of its proper divisors (2304259458540).

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

1020101102100 is a wasteful number, since it uses less digits than its factorization.

1020101102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175647 (or 5175634 counting only the distinct ones).

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

Adding to 1020101102100 its reverse (12011010201), we get a palindrome (1032112112301).

The spelling of 1020101102100 in words is "one trillion, twenty billion, one hundred one million, one hundred two thousand, one hundred".