101202101000000 has 2646 divisors, whose sum is σ = 350999064615402. Its totient is φ = 28828800000000.

The previous prime is 101202100999997. The next prime is 101202101000027. The reversal of 101202101000000 is 101202101.

It can be written as a sum of positive squares in 21 ways, for example, as 37536894013696 + 63665206986304 = 6126736^2 + 7979048^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 1002000999950 + ... + 1002001000050.

Almost surely, 2^{101202101000000} is an apocalyptic number.

101202101000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175499532307701).

101202101000000 is an abundant number, since it is smaller than the sum of its proper divisors (249796963615402).

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

101202101000000 is an equidigital number, since it uses as much as digits as its factorization.

101202101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101202101000000 its reverse (101202101), we get a palindrome (101202202202101).

101202101000000 divided by its reverse (101202101) gives a 6-th power (1000000 = 10⁶).

The spelling of 101202101000000 in words is "one hundred one trillion, two hundred two billion, one hundred one million", and thus it is an aban number.