101202100101020 has 48 divisors (see below), whose sum is σ = 221931720557568. Its totient is φ = 38691624079680.

The previous prime is 101202100101013. The next prime is 101202100101029. The reversal of 101202100101020 is 20101001202101.

It is a junction number, because it is equal to n+sod(n) for n = 101202100100992 and 101202100101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202100101029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82285046 + ... + 83505885.

It is an arithmetic number, because the mean of its divisors is an integer number (4623577511616).

Almost surely, 2^{101202100101020} is an apocalyptic number.

101202100101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202100101020 is an abundant number, since it is smaller than the sum of its proper divisors (120729620456548).

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

101202100101020 is a wasteful number, since it uses less digits than its factorization.

101202100101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165792290 (or 165792288 counting only the distinct ones).

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

Adding to 101202100101020 its reverse (20101001202101), we get a palindrome (121303101303121).

The spelling of 101202100101020 in words is "one hundred one trillion, two hundred two billion, one hundred million, one hundred one thousand, twenty".